Question

Hari and Harry ratio of ages is 5 :7 after 4 years their ages are 3 :4 then find the present ages

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Ratio of Hari and Harry ages are 5:7.

Let present age of Hari be 5M years and present age of Harry be 7M years.

After 4 years,

• Age of Hari = (5M + 4) years
• Age of Harry = (7M + 4) years

After 4 years, ratio of their ages are 3:4.

According to question,

→ $\dfrac{5M\:+\:4}{7M\:+\:4}\:=\:\dfrac{3}{4}$ ____ (eq 1)

Cross multiply them

→ 4(5M + 4) = 3(7M + 4)

→ 20M + 16 = 21M + 12

→ 20M - 21M = 12 - 16

→ - M = - 4

→ M = 4

So,

Present age of Hari = 5M

→ 5(4)

→ 20 years

Present age of Harry = 7M

→ 7(4)

→ 28 years

∴ Present age of Hari is 20 years and Present age of Harry is 28 years.

______________________________

☆ Verification :

From above calculations we have M = 4

Put value of M in (eq 1)

→ $\dfrac{5(4)\:+\:4}{7(4)\:+\:4}\:=\:\dfrac{3}{4}$

→ $\dfrac{20\:+\:4}{28\:+\:4}\:=\:\dfrac{3}{4}$

→ $\dfrac{24}{32}\:=\:\dfrac{3}{4}$

→ $\dfrac{3}{4}\:=\:\dfrac{3}{4}$