Question

The present ages of Vijay and gautam are in ratio 2:3. five years hence,their ages will be in the ratio 3:4. find their present ages​

Answer 1

Vijay present age: a

Gautam present age : b

2/3=a/b

3a = 2b

3/4 = (a+5)/(b+5)

4a+20 = 3b +15

(3a - 2b =0) x 3---------9a - 6b = 0

(4a - 3b = -5) x 2------- 8a - 6b = -10

9a - 6b - 8a + 6b = 10

a = 10

3(10) - 2b =0

-2b = -30

b = 15

So

Vijay present age = 10

Gautam present age = 15