Question

the ratio of the present ages of Anjali & Ashu is 2:3 if five years hence . Find the ratio of their age.

Answer 1

Answer:

age of anjali = 10 years

age of ashu = 15 years

Step-by-step explanation:

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

Answer 2

Answer:

This is only possible if the ratio of the ages after 5 years is 3:4

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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