Question

The present age of Ram and Rahim are in the ratio 4:3 four years later, their ages will be in ratio 6:5 what are their present ages.​

Answer 1

Solution

Since the ratio of the present ages of Ram and Rahim is given as 4:3, let the present ages of Ram be (4x) years and Rahim's be (3x) years.

After four years,

$ram \: age \: = (4x + 4) \: years \\ rahim \: age \: = \: (3x + 4) \: years$

According to the given condition,

(4x+4) : (3x+4) = 6:5

$i.e. \: \: \: \frac{4x + 4}{3x + 4} = \frac{6}{5}$

By cross multiplication, we get,

$5(4x + 4) = 6(3x + 4)$

$or \: \: \: \: \: 20 + 20 = 18x + 24$

$or \: \: \: \: \: 20x - 18x = 24 - 20$

$or \: \: \: \: \: \: \: 2x = 4$

$or \: \: \: \: \: \: \: \: \: x = 2$

Present age of Ram

$(4 \times 2) = 8years$

Present age of Rahim

$(3 \times 2) = 6years$

Verification

$\frac{present \: age \: of \: ram}{present \: age \: of \: rahim}$

$= \frac{8}{6} = \frac{4}{3}$

Therefore 4:3

Which is the same as given.

Hence, the solution is correct.

Answer 2

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