Question

divide 184 into two such parts that one third of one part may exceed one seventh of another part by 8

Answer 1

let 184 be divided in two parts 'x' and '184-x'

According to the question,

(x/3) - (184-x/7) = 8

⇒ (7x - 3(184-x))/21 = 8

⇒ 7x - 552 + 3x = 168

⇒ 10x = 168 + 552

⇒ 10x = 720

⇒ x = 72

∴ The number is 72