Question 51

A certain number is divided into two parts such that 5 times the first part added to 11 times the second part makes 7 times the whole. The ratio of the first part to the second part is

Solution

Let the number be x and divided into 'a' and 'x-a'

According to the given question,

5a + 11(x - a) = 7x

5a + 11x - 11a = 7x

4x = 6a (or) x = (3/2)a ........(1)

Ratio between first part and second part,

a : $$\frac{3}{2}$$a - a

a : a($$\frac{3}{2}$$ - 1)

a : a($$\frac{1}{2}$$)

2:1

Hence, option A is the correct answer.

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