What is the next number of the following sequence 59,73,83,94,107,115,121,123,.....

M4maths Previous Puzzles

14 Apr 2014 Sequence

What is the next number of the following sequence
59,73,83,94,107,115,121,123,.....

OPtion

1) 124
2) 125
3) 129
4) 127
5) 136
6) 149
7) 172
8) 189
9) 192
10)None of these

Solution

59
59 + (5+9) = 59+14 = 73 (No + sum of first and last digit)
73 + (7+3) = 73+10 = 83 (Similar)
83 + (8+3) = 83+11 = 94 (Similar)
94 + (9+4) = 94+13 = 107 (Similar)
107 + (1+7) = 107+8 = 115 (No + sum of first and last digit)
115 + (1+5) = 115+6 = 121 (Similar)
121 + (1+1) = 121+2 = 123 (Similar)
Similarly
123 + (1+3) = 127
Option 4)



Option 4)

Correct Option: 4 Best Solution (26)

ANUP KUMAR   10 years AGO

59+(1st+last digit)=59+(5+9)=73
73+(7+3)=83
83+(8+3)=94
94+(9+4)=107
107+(1+7)=115
similarly,
123+(1+3)=127

Like? Yes (8) | No (3)  

NAGENDRA P   10 years AGO

59+(5+9)=73..
73+(7+3)=83..
83+(8+3)=94..
94+(9+4)=107..
107+(01+07)115..
115+(1+5)=121..
121+(1+1)=123..
123+(1+3)=127..
so option (4)..

Like? Yes (2) | No   

RAKESH   10 years AGO

59,73,83,94,107,115,121,123,...

59+5+9=73
73+7+3=83
....
94+9+4=107
107+1+7=115
115+1+5=121
121+1+1=123
123+1+3=127

Like? Yes (4) | No (2)  

Bhawika Jethwani   10 years AGO

logic : add the sum of 1st and last digit of the previous number to number itself to get the next number.

59 : 5+9=14 , hence 59+14=73 (i.e. the next number)
73 : 7+3=10, hence 73+10=83 (i.e. the next number)
.
.
.
121 : 1+1=2, hence 121+2=123 (i.e. the next number)
similarly,
123 : 1+3=4, hence 123+4=127 (i.e. the next number)

Like? Yes (2) | No   

Santosh Vishwakarma   10 years AGO

just add the sum of first and last digits of privious number

Like? Yes (2) | No   

llamar   10 years AGO

add 1st and last number of each term to itself to get next number
i.e 59+5+9=73
73+7+3=83
83+8+3=94
94+9+4=107
107+1+7=115
115+1+5=121
121+1+1=123
123+1+3=127

Like? Yes (2) | No (1)  

Dr.Dipin Singh   10 years AGO

59,73,83,94,107,115,121,123,.....
59+5+9=73.... Add first and last digit to get next number.
73+7+3=83 .... Add first and last digit to get next number.

..
..
107+1+7=115.... Add first and last digit to get next number.

115+1+7= 123.... Add first and last digit to get next number.

123+1+3=127.... Add first and last digit to get next number.

Like? Yes (3) | No (2)  

Sourish Barman   10 years AGO

73+7+3=83
83+8+3=94

94+9+4=107
107+1+0+7=115
115+5+1(thousand digit)=121
121+1+1(thousand digit)=123
123+3+1=127

Like? Yes (2) | No (1)  

Roopali   10 years AGO

option 4 i.e 127 is correct answer.

Like? Yes (2) | No (1)  

Udhaya kumar   10 years AGO

add the sum of first & last digits of prev no & prev no..........

Like? Yes (3) | No (2)  

Pallab Das   10 years AGO

59=(9+5)i.e 14=59+14=73
73=(7+3)i.e 10=73+10=83
.
.
115=(1+5)i.e 6=115+6=121
.
123=(1+3)i.e 4=123+4=127

Like? Yes (2) | No (1)  

Soham Ghosh Hazra   10 years AGO

59+5+9=73
73+7+3=83
83+8+3=94
94+9+4=107
107+1+0+7=115
115+5+1(thousand digit)=121
121+1+1(thousand digit)=123
123+3+1=127

Like? Yes (2) | No (2)  

Pargat Pal Singh   10 years AGO

add 1st and last digit to the number and get next number.
123+1+3=127

Like? Yes (1) | No (1)  

Devendra Marghade   10 years AGO

Add the First & last digit of existing number to get next number
59+(5+9)=73
73+(7+3)=83
83+(8+3)=94
94+(9+4)=107
107+(1+7)=115
115+(1+5)=121
121+(1+1)=123
123+(1+3)=127

Like? Yes (3) | No (4)  

Naveen Kumar   10 years AGO

59
73=59+(5+9)
83=73+(7+3)
94=83+(8+3)
107=94+(9+4)
115=107+(1+7);taking the outer digits only
121=115+(1+5);taking the outer digits only
123=121+(1+1);taking the outer digits only
Now,
123+(1+3)=127;Ans

Like? Yes (4) | No (5)  

Ann Theressa   10 years AGO

Next number = previous number + sum of 1st and last digits of the previous number

59
59 + (5+9) = 59+14 = 73
73 + (7+3) = 73+10 = 83
83 + (8+3) = 83+11 = 94
94 + (9+4) = 94+13 = 107
107 + (1+7)= 107+8 = 115
115 + (1+5)= 115+6 = 121
121 + (1+1)= 121+2 = 123

123 + (1+3) = 123+4 = 127

Like? Yes (2) | No (3)  

Ankit Ranjan   10 years AGO

59 i.e 5+9=14, therefore the next term is 59+14 i.e 73 and so on till 94, and for three digit numbers add unit and 100th place numbers and add to the number to get the new number i.e,
for 107 the next term will be 107+(7+1)=115,115+5+1=121,121+1=1=123,123+3+1=127

Like? Yes (2) | No (3)  

vicky kumar   10 years AGO

In every no. add 1st and last digit and add this result to the no itself to get the next no.

5+9=14+59=74
1+7=8+107=115
1+1=2+121=123
1+3=4+123=127

Like? Yes (1) | No (3)  

MD SOHAIL AKHTER   10 years AGO

add the 1st + last digit with the prev digit
73=59+(5+9)

similarly
123+(1+3)=127

Like? Yes (1) | No (3)  

Md Shahid Akhter   10 years AGO

Take sum of 1st+last digit and add with the no. to get next no.
Ex.
59+(5+9)=73
Similarly,
107+(1+7)=115
123+(1+3)=127 is the answer

Like? Yes (1) | No (3)  

susmit   10 years AGO

Adding first and last digit to the number, we get the next number
59 + 5 + 9 = 73
73 + 7 + 3 = 83
So,
123 + 3+ 1 = 127

Like? Yes (1) | No (4)  

AJAY KUMAR   10 years AGO

5+9=14
59+14=73
......

123+(1+3)=127

Like? Yes (1) | No (4)  

Satish Zod   10 years AGO

Add sum of first and last digit of a number to get next number.

Like? Yes (1) | No (4)  

Ravi Vaghela   10 years AGO

5+9 =14 ==> 59 +14=73
likewise
and then
107 ==>1+7=8 ==> 107+8=115
likewise
123 ==>1+3=4 ==> 123+4=127

Like? Yes (1) | No (4)  

ASHISH MITTAL   10 years AGO

add corner digit of the no and the no to get next no,so number will be 123+1+3=127 i.e option (4)

Like? Yes (1) | No (4)  

shree   10 years AGO

123+4=127

Like? Yes (1) | No (5)