Question 1207224
Tommy’s age is 2/3 Ben’s age now. In 8 years time, the ratio of Tommy’s age to Ben’s age will be 10:13. How old is Tommy now?

Let Ben's age be x
Tom'my's age will be 2x/3

In 8 years

Ben's age x+8
Tommy's age will be (2x/3 )+8

 the ratio of Tommy’s age to Ben’s age will be 10:13. 
(
(2x/3)+8) /( x+8) = 10/13


((2x+24)/3 )/(x+8)= 10/13

(2x+24)/3(x+8) =10/13

(2x+24)/(3x+24) = 10/13

13(2x+24)= 10(3x+24)

26x +312 = 30x +240

4x = 72

x = 18  Ben's age 

Tommy's age = 2/3  * 18 = 12 years now