The sum of present age of 2 persons is 100yrs.Before 5 years the ratio of their ages is 5:13.Find the age of younger persona)15b)20c)25d)30Correct answer is option 'D'. Can you explain this answer?

Question

Answer

Let's assume the present age of the younger person is 'x' and the present age of the older person is '100 - x' (since the sum of their ages is 100 years).

According to the given information, before 5 years, the ratio of their ages was 5:13. So, we can write the equation as follows:

(x - 5) / (100 - x - 5) = 5 / 13

Simplifying the equation, we get:

(x - 5) / (95 - x) = 5 / 13

Cross multiplying, we have:

13(x - 5) = 5(95 - x)

Simplifying further, we get:

13x - 65 = 475 - 5x

Bringing like terms to one side, we have:

13x + 5x = 475 + 65

18x = 540

Dividing both sides by 18, we get:

x = 30

Therefore, the present age of the younger person is 30 years.

Hence, the correct answer is option D (30).

Answer

D)30
Explanation : From option 30+70 = 100
25:65 = 5:13

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