Question

The present Age of Prince and Saleem are in the ratio 5:7 .four years later the sum of their ages will be3:4 .Find their present age

Answer 1

Answer:

It is given that;

The present age of Prince and Saleem are in ratio 5:7.

Thus,

Let the Prince's present age = 5x yrs

and the Saleem's present age = 7x yrs

Then,

The sum of present ages of Prince and Saleem = (5x + 7x)yrs ,ie; 12x yrs.

Now,

Prince's age 4 yrs later = (5x+4)yrs

Saleem's age 4 yrs later = (7x+4)yrs

Then,

The sum of Prince's and Saleem's ages after 4 years = (5x+4+7x+4)yrs

ie, (12x + 8) yrs.

Now, according to the question;

The ratio of the sum of their presents ages and the sum of their ages 4 years later is 3:4.

Thus,

=> (12x):(12x+8) = 3:4

=> (12x)/(12x+8) = 3/4

=> 12x•4 = 3•(12x+8)

=> 48x = 36x + 24

=> 48x - 36x = 24

=> 12x = 24

=> x = 24/12

=> x = 2

Thus,

Prince's present age = 5x yrs

= 5•2 yrs

= 10 yrs

And,

Saleem's present age = 7x yrs

= 7•2 yrs

= 14 yrs

Hence, the present ages of Prince and Saleem are 10 years and 14 years respectively.

Answer 2

Answer:

Step-by-step explanation:

Given :-

The present Age of Prince and Saleem are in the ratio 5 : 7.

Four years later the sum of their ages will be 3 : 4 .

To Find :-

Their present age.

Solution :-

Let the Prince's present age be 5x years

And the Saleem's present age be 7x years

After 4 years

Prince's age 4 yrs later = (5x + 4) years

Saleem's age 4 yrs later = (7x + 4) years

Sum of their ages = (5x + 4 + 7x + 4) = (12x + 8) years

According to the Question,

⇒ (12x)/(12x + 8) = 3/4

By Cross Multiplication, we get

⇒ 12x × 4 = 3 × (12x + 8)

⇒ 48x = 36x + 24

⇒ 48x - 36x = 24

⇒ 12x = 24

⇒ x = 24/12

⇒ x = 2

Prince's present age = 5x = 5 × 2 = 10 years

Saleem's present age = 7x years = 7 × 2 = 14 years.

Hence, the present ages of Prince and Saleem are 10 years and 14 years.