Question

the present ages of princeand saleem are in ratio 5:7.four yrs from now the ratio of there ages will be 3:4. find their present ages?

Answer 1

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Answer 2

Correct Question

The present ages of prince and saleem are in ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages?

Given that :-

1. The present ages of prince and saleem are in ratio 5:7.

2. Four years from now the ratio of their ages will be 3:4.

To find :'

1. Present age of prince.

2. Present age of saleem.

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 = 5x + 4 years

Saleem's age = 7x + 4 years

Ratio = 3:4

Representing the condition mathematically,

(5x + 4/ 7x+ 4 = 3/4)

Cross multiplying,

=> 4 ( 5x + 4) = 3 ( 5x + 4)

=> 20x + 16 = 15x + 12

Transport the terms,

=> 20x - 21x = 12 - 16

=> - x = - 4

=> x = 4

Substitute x = 4 in the values of the ratio.

$\boxed{5x = 5× 4 = 20}$

$\boxed{7x = 7× 4 = 28}$

Hence, the present age of Prince is 20 years, and Saleem's present age is 28 years.