Question

Present ages of Andrew n andrell are in
ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6 find their present ages.​

Answer 1

✦ Question

Present ages of Sasha and Manisha are in the ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6 . Find their present ages.

✦ Given

Present ages of Andrew and Andrell are in the ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6.

✦ To Find

What's their present ages ?

✦ Solution

Consider Andrew present age = 4x years

Andrell present age = 5x years

Eight years later, Andrew age = ( 4x + 8 ) years

Andrell age = ( 5x + 8 ) years

As per the Question ,

$\frac{4x + 8}{5x + 8} = \frac{5}{6}$

By cross multiplication, we have

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

= 24x + 48 = 25x + 40

= 48 - 40 = 25x - 25x

= 8 = x

Therefore, Andrew present age = 5x years = ( 4 × 8 ) years = 32 years.

Andrell present age = 5x years = ( 5 × 8 ) years = 40 years.

Answer 2

☆ Correct Question ☆

Present ages of Andrew and Andrell are in ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6 find their present ages.

☆ Solution ☆

Given

• Present ages of Andrew and Andrell are in ratio 4:5.
• Eight years from now, the ratio of their ages will be 5: 6.

To Find

• Their present ages.

Step-by-Step-Explaination

Let Andrew present age = 4x years

Andrell present age = 5x years

Eight years later, Andrew age = ( 4x + 8 ) years

Andrell age = ( 5x + 8 ) years

According to the question, we have

$\frac{4x + 8}{5x + 8} = \frac{5}{6}$

By cross multiplication, we have

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

= 24x + 48 = 25x + 40

= 48 - 40 = 25x - 24x

= 8 = x

Therefore, Andrew present age = 5x years = ( 4 × 8 ) years = 32 years.

Andrell present age = 5x years = ( 5 × 8 ) years = 40 years.