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Numerical Ability
Number System
Q. The sum of a two digit number and the number formed by reversing its digits is 110.if the tens digit is 2 more than the units digit. find the number?
Option
a) 64
b) 46
c) 24
d) 42
Read Solution (Total 4)
-
- (10x+y)+(10y+x)=110
so that 11x+11y=110
x+y=10.........(1)
x=y+2........................(2)
So that x=6,y=4;
Number =64
- 9 years agoHelpfull: Yes(4) No(0)
- Difference of a number and its reverse is always a multiple of 9 and difference of digits.
Same logic applies when we add a number and its reverse, it will always be 11 times the sum of digits.
As, the result is 110, the sum of digits is 110/ 11 = 10
Now the sum of digits is 10 and difference of digits is 2, so the digits are 6 and 4.
The number is 64.
- 11 years agoHelpfull: Yes(3) No(0)
- 10x+y+10y+x=110............(i)
y=2+x......................(ii)
solving i & ii
ans 24 - 9 years agoHelpfull: Yes(0) No(5)
- Two digit number let say (10x+y).
Now ATP : 10x+y +10y+x = 110;
11(x+y) = 110.
Hence, x+y = 10;
second condition i.e tens digit is 2 more than unit digit. So answer is 46. - 8 years agoHelpfull: Yes(0) No(5)
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