Question

if 1/3 of a number is 16 less than the original number then find the number

Answer 1

let the number be x
1/3x=x-16
x-1/3x=16
2/3x=16
x=24

hence the number is 24

Answer 2

Answer:

Let the required number is a,

= > 1 / 3 of a is 16 less than a

= > 1 / 3 x a = a - 16

= > a / 3 = a - 16

= > a / 3 x 3 = 3 x ( a - 16 )

= > a = 3( a - 16 )

= > a = 3a - 48

= > a - a = 3a - a - 48

= > 0 = 2a - 48

= > 48 = 2a - 48 + 48

= > 48 = 2a

= > 48 / 2 = 2a / 2

= > 24 = a

Therefore the number required here is 24.

For verification :

1 / 3 of 24 =

1 / 3 x 24 = 8

24 - 16 = 8

Hence verified..

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