Question

Present ages of Anu and Raj are in the ratio 4:5. Eight years from now
the ratio of their ages will be 56. Find their present ages.

exmalel from begging with each step :-​

Answer 1

$\huge\red{ANSWER:-}$

Let the present ages of Any and Raj be 4x years and 5x years respectively.

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

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

This is the given to be 5:6

Therefore,

4x+8/5x+8=5/6

Cross-multiplication gives

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

=24x+48=25x+40

=24x+48-40=25x

=24x+8=25x

=8=25x-24x

=8=x

Therefore,

Anu's present age =4x=4×8=32 years.

Raj's present age =5x=5×8=40 years.

Answer 2

Hi there !!

In third line, it should be 5:6

Let the age of Anu be 4x years and age of Raj be 5x years.

After 8 years,In the condition of after,we add and ago we will do subtract.

Age of Anu will be (4x+8)years and,

,Age of Raj will be (5x+8)years.

According to question-

$\frac{4x + 8}{5x + 8} = \frac{5}{6} \\ \\ 6(4x + 8) = 5(5x + 8) \\ \\ 24x + 48 = 25x + 40 \\ \\ 24x - 25x = 40- 48 \\ \\- x = -8$

x=8

So, the present age of Anu=4×8=32 years.

The present age of Raj = 5×8=40 years

Thankyou :)