Question

Divide 54 into two parts such that one part is `2/7` of the other.

Answer 1

Let the other part be x.

Then, first part will be `(2x)/7`

According to the question,

`x + (2x)/7 = 54`

⇒ `(7x + 2x)/7 = 54`

⇒ 9x = 7 × 54  ...[By cross-multiplication]

⇒ `x = (7 xx 54)/9`

⇒ x = 7 × 6

⇒ x = 42

Hence, the first part = `(2 xx 42)/7 = 12`

And the other part = 42