Question

68. Rakesh's present age is 2/3rd of Ramesh's
age. After 5 years, Rakesh will be of
45 years. Ramesh's present age is​

Answer 1

Answer:

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Problems on Ages - Formulas, Tricks, Questions and Solved Examples - Quantitative Aptitude Quiz

Formulas and Quick Tricks for Age Problems

If the current age is x, then n times the age is nx.

If the current age is x, then age n years later/hence = x + n.

If the current age is x, then age n years ago = x - n.

The ages in a ratio a : b will be ax and bx.

If the current age is x, then 1/n of the age is x/n

The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?

A. 18 years

B. 24 years

C. 30 years

D. 36 years

Answer: C. 30 years

Explanation: 20 + 24 + 8 * 2 = 60/2 = 30

Answer 2

Present :-

Age Of Ramesh = x

Age Of Rakesh = 2/3x

After 5 years :-

Age Of Ramesh = x + 5

Age Of Rakesh = (2/3x + 5) = 45

$\frac{2}{3} x + 5 = 45 \\ \\ \frac{2}{3} x = 45 - 5 = 40\\ \\ x = 40 \times \frac{3}{2} \\ \\ x = 60$

Ramesh's present age = x = 60

Therefore, Ramesh is 60 year old at present.

Hope it helps