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