Question

If 52 is added to a number, it will be
3 times as large as it was originally. Find the number

Answer 1

Explanation:

let the number be X

by question,

or, X + 52 = 3X

or,. 52 = 3X - X

or,. 2X = 52

or,. X = 52/2

or X = 26

hence that original number is 26.

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Answer 2

Let the number be x

• 3 times the original number is equal to the original number x + 52.

Then , above statement becomes

x + 52 = 3x

Solving for x , we have the following

`\large\green\implies \tt \large \: \: x \: + \: 52 \: = \: 3x`

`\large\green\implies \tt \large \: \: 52 \: = \: 3x \: - x`

`\large\green\implies \tt \large \: \: 52 \: = \: 2x`

`\large\green\implies \tt \large \: \: \cancel(52)/(2) \: = \: x \\`

`\large\green\implies \tt \large \: \: 26 \: = \: x`

Hence , the number is 26.