Question

The age of hari and Harry are in ratio 5:7 four years from now the ratio of their ages will be 3:4 find their present ages​

Answer 1

Answer

Let the age of Hari be 5x years

Let the age of Harry be 7x years

So, the age of Hari and Harry will be

$\sf \dashrightarrow \dfrac{5x}{7x}$

Four years later, their age will be

$\sf \dashrightarrow \dfrac{3}{4}$

According to the question,

$\sf \dashrightarrow \dfrac{5x + 4}{7x + 4} = \dfrac{3}{4}$

Cross multiply the numbers.

$\sf \dashrightarrow 4 (5x + 4) = 3 (7x + 4)$

$\sf \dashrightarrow 20x + 16 = 21x + 12$

$\sf \dashrightarrow 20x - 21x = 12 - 16$

$\sf \dashrightarrow -1x = -4$

$\sf \dashrightarrow x = \dfrac{-4}{-1}$

$\sf \dashrightarrow x = 4$

Now, we can find the present ages of Hari and Harry.

Present age of Hari :

$\sf \dashrightarrow 5x = 5(4)$

$\sf \dashrightarrow 20 \: years$

Present age of Harry :

$\sf \dashrightarrow 7x = 7(4)$

$\sf \dashrightarrow 28 \: years$

Hence, the present ages of Hari and Harry is 20 and 28 years respectively.

Answer 2

Answer:

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