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Numerical Ability
Age Problem
Monisha was seven times as old as her daughter Mercy eight years ago. Now three times Mercy’s age is her mother age. Before how many years the ratio of their ages (ratio of mother's age to Mercy's age) will be increased by 1 from the current ratio
a) 5
b) 4
c) 8
d) none of these.
Read Solution (Total 9)
-
- 8 years ago Daughter age be X and Mother's age be 7X
now Daughter age is X+8 and mothers age is 7X+8.
three times Mercy’s age is her mother age therefore
3(X+8)=7X+8 => X=4
daugther's present age is X+8=12
Mother's present age is 7X+8=36.
now the ratio between them is 36/12=3
will be increased by 1 i.e y denotes the number of years before which the ratio becomes 3 + 1 = 4.
(36-y)/(12-y)=4 => y=4.
Ans: before 4 years
- 10 years agoHelpfull: Yes(47) No(1)
- Eight years ago -- let Monisha’s age be M and Mercy’s age be D.
M = 7 D
Now M + 8 = 3 (D + 8)
7 D + 8 = 3D + 24
7D - 3 D = 24 - 8 = 16
D = 4 = age of Mercy before 8 years
M = 28 = age of Mother before 8 years
Current age of Mercy = D + 8 = 12
Current age of Monisha = M + 8 = 36
Current ratio of mother's age to Mercy's age = 36/12 = 3.
Let before x years this ratio becomes 1 more than the current ratio. i.e x denotes the number of years before which the ratio becomes 3 + 1 = 4.
Then 36 - x / 12 - x = 4
36 - x = 48 - 4x
3x = 12
Or x = 4
i.e before 4 years, the ratio of their ages will be 4. Therefore answer = 4 - 10 years agoHelpfull: Yes(9) No(0)
- 4 yrs
Monisha (28) was seven times as old as her daughter Mercy (4) eight years ago.
Now three times Mercy’s age (12) is her mother age (36).
4 years ago, ratio of mother's age (32) to Mercy's age (8).
- 10 years agoHelpfull: Yes(4) No(5)
- B
PRESENT AGE OF MOTHER IS 36 N THAT OF DAUGHTER IS 12
36+A/12+A=4
A=4 - 10 years agoHelpfull: Yes(2) No(0)
- Let Mercy age is x and her moms age is y
before 8 years
y+8=7(x+8)---(1) and y=3x--(2)
sub 2 in 1
we get x=12
y =36
so the ratio is 1:3=4
result 4
- 10 years agoHelpfull: Yes(2) No(1)
- (x-8)=7(y-8)
x=3y
36=12 (3:1)
36+12=12+12
48=24 (4:2) - 9 years agoHelpfull: Yes(2) No(0)
- x
7x
7x+8=3(x+8)
x=4
ages will be 12&36 year
ratio will be 3/1
increased by 1 so 3+1=4
let y year before it increased by 1
so 36-y/12-y=4
y=4 year - 10 years agoHelpfull: Yes(0) No(0)
- it will be 4 years
- 10 years agoHelpfull: Yes(0) No(0)
- ans =4 mercy age before 8 year is x and her mother is 7x now ,age is
3(x+8)=7x+8;x=4 so ratio is 28/4=7 ratio becomes 1 before 4 years 28-p/4-p=7+1/1+1 so p=4 - 10 years agoHelpfull: Yes(0) No(0)
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