Question

the ratio of present age of Anjali and Ashu is 2:3 five years hence the ratio of their age will be 3:4 fine the present age

Answer 1

Hey Friend ☺

Let the ages of Anjali and Ashu be 2x & 3x respectively

5 years hence their ages will be 2x + 5 & 3x + 5

The ratio is given as 3 :4

so we get equation

2x + 5/3x + 5 = 3/4

》( 2x + 5 ) × 4 = ( 3x + 5 ) × 3

》8x + 20 = 9x + 15

》20 - 15 = 9x - 8x

》5 = x

》x = 5

So the present age of Anjali is 2 × 5 = 10 years

And the present age of Ashu is 3 × 5 = 15 years

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Answer 2

let the age of anjali be x
let the age of ashu be y
then,  2/3=x/y
        =>  2y=3x
        =>  y = 3x/2
after five years
        =>  3/4 = (x+5)/(y+5)
        =>  3y+15=4x+20
putting the value of y
        =>  (3*3x)/2 = 4x + 5
        =>    9x = 8x + 10
        =>    x = 10
since x = 10 therefore y will be 15.
age of anjali = 10 years
age of ashu = 15 years