Question

the difference between a number and one third of itself is 24. find the number

Answer 1

ANSWER:

Let the number be x

Given: x - ⅓x = 24

From this, we get: ⅔x = 24

Therefore, x = 24 × ³/2 = 36

Thus, the number is 36

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Answer 2

Step-by-step explanation:

Given :-

The difference between a number and one third of itself is 24.

To find:-

Find the number ?

Solution:-

Let the number be X

One third of the number

= (1/3)×X

= X/3

The difference between the number and one third of itself

= X-(X/3)

=> (3X-X)/3

=2X/3

According to the given problem

The difference between the number and one third of itself = 24

=> 2X/3 = 24

=> 2X = 24×3

=> 2X = 72

=>X = 72/2

=> X = 36

Therefore, X = 36

Answer:-

The required number for the given problem is 36

Check:-

The number = 36

1/3rd if 36 = 36/3 = 12

Their difference = 36-12=24

Verified the given relations in the problem.