Question

Six more than one-fourth of a number is two-fifth of the number. Find the number.

Answer 1

Let the required number = x

∴ One-fourth of the number = `"x"/4`

Two-fifth of the number = `"2x"/5`

According to the statement:

`"2x"/5 = 6 + "x"/4`

`=> "2x"/5 - "x"/ = 6/1`

`=> "2x"/5 xx 20 - "x"/4 xx 20 = 6 xx 20`
 ....[Multiplying each term by 20 because L.C.M. of 5,4 and 1 = 20]

⇒ 8x- 5x = 120

⇒ 3x = 120

⇒ x = `120/3`

x = 40

Required number = 40