Question

2. The two digits in Sunil’s age are the same as the digits in Ramesh’s age, but in reverse order. In five years Sunil will be twice as old as Ramesh will be then. What is the difference in their current ages

Answer 1

Answer:

18

Step-by-step explanation:

Let the age of Sunil = 10(x)+y

Let the age of  Ramesh = 10(y)+x

According to the question:-

10(x)+y+5=2{10(y)+x+5}

=> 10x+y+5 = 20y+2x+10

=>8x = 19y+5

For b=1 we get a=3. For b=2 and b=3 the value is not an integer, and for 4 it is more than 9. Thus the only solution is (a,b)=(3,1), and the difference in ages is 31-13=18.

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