Question

The ages of hari and harry are in the ratio 5:7. Four years from now the ratio of thier ages will be 3:4. find their present ages​

Answer 1

Answer:

$\large{\underline{\boxed{\sf Hari's \: age = 20 \: years}}}$

$\large{\underline{\boxed{\sf Harry's \: age = 28 \: years}}}$

Step-by-step explanation:

Let the present age of Hari be 5x and present age of Harry be 7x.

Four years later ;

• Hari's age = 5x + 4
• Harry's age = 7x + 4

It is given that, the ratio of their ages after four years will be 3 : 4.

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

On cross-multiplying -

$\implies \sf 4(5x + 4) = 3(7x + 4) \\ \\ \implies \sf 20x + 16 = 21x + 12 \\ \\ \implies \sf 21x - 20x = 16 - 12 \\ \\ \implies \sf x = 4$

Therefore, their present ages -

★ Age of Hari

⇒ 5x

⇒ 5 * 4

⇒ 20 years

★ Age of Harry

⇒ 7x

⇒ 7 * 4

⇒ 28 years.

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

Answer 2

Answer:

Step-by-step explanation:

Given :-

The ages of hari and harry are in the ratio 5:7.

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

To Find :-

Their present ages​

Solution :-

Let the ages of both be x.

Hari's age be  5x

Harry's age be  7x

After 4 years

Age of Hari = 5x + 4

Age of Harry = 7x + 4

Multiplying both sides, we get

⇒ (5x + 4)/(7x + 4) = 3/4

⇒ 4(5x + 4) = 3(7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ x = 4

Putting x value in both's ages

Present age of Hari = 5x = 5 × 4 = 20 years.

Present age of Harry = 7x = 7 × 4= 28 years.