Question

One-fourth of a number added to two- seventh of it gives 135; find the number.

Answer 1

Let required number = x

∴ According to the sum,

`"x"/4 + 2/7"x" = 135`

`=> ("7x" + "8x")/28 = 135`  ...(LCM of 4, 7 = 28)

`=> "15x"/28 = 135`

`=> "x" = (135 xx 28)/15`

⇒ x = 9 × 28 = 252

∴ Required number = 252