Question

Present age of Anu and Raj are in the ratio 4:5.Eight years from now the ratio of their ages will be 5:6.Find their present ages..​

Answer 1

Answer:

Let the present age of Anu is 4x. Then, the present age of Raj will be 5x. so, Present age of Anu is 32 years and present age of Raj is 40 years.

Answer 2

Given:-

Present age of Anu and Raj are in the ratio 4:5.Eight years from now the ratio of their ages will be 5:6.

Find:-

Present age of Anu and Raj..

Solution:-

Let the present of Anu be 4x years

and

Present age of Raj be 5x years..

After eight years Anu's age=(4x+8) years..

After eight years Raj's age=(5x+8) years..

Therefore,the ratio of their ages after 8 years=$\dfrac{4x+8}{5x+8}$

Next,

According to question,

The ratio of their ages is 5:6

So,

$\dfrac{4x+8}{5x+8}$=$\dfrac{5}{6}$ [Cross multiplication]

=6(4x+8)=5(5x+8)

=24x+48=25x+40

=24x+48-40=25x

=24x+8=25x

=8=25x-24x

Therefore, 8=x

Now,

Anu's present age=4x=4×8=32

Raj's present age=5x=5×8=40