Question

The product of harish`s age and rupan`s age is 750. If five times of harish`s age is six times the age of rupan. Find rupan`s age

Answer 1

Finding ages

Answer: Age of Rupan is 25 years.

Explanation:

Given that product of Harish`s age and Rupan`s age is 750.

Also five times of Harish`s age is six times the age of Rupan

Need to find Rupans age

lets assume age of rupan = x

And Age of Harish = y

As product of ages is 750.

⇒ age of Rupan ×  Age of Harish = 750

⇒ x × y = 750

⇒xy = 750

⇒ y = 750/x  ----------eq(1)

Also given five times of Harish's age = six times of Rupan age

⇒ 5 × Age of Harish = 6 × Age of Rupan

⇒ 5 × y = 6 × x

=>5y = 6x  -------eq(2)

On substituting y = 750/x from eq(1) in eq(2) , we get

5 × (750/x) = 6x

⇒ (5 × 750)/6 = x²

⇒625 = x²

⇒x = √625 = 25

Hence age of Rupan = x years = 25 years.

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