Question

1/3 of a number is 25 less than 1/2 of that number. Find the number.

Answer 1

$\small\fcolorbox{blue}{white}{Given:-}$

One-third of a number is 25 less than Half of that number .

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$\small\fcolorbox{blue}{white}{To find:-}$

The number.

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$\small\fcolorbox{blue}{white}{Solution:-}$

Let the number required be x

$\small\fcolorbox{<u>Acc. to question</u>:-}$

$\: \: \: \: \: \: \: \: \: \: \: \frac{x}{2} - \frac{x}{3} = 25 \\ \\ = = > \frac{3x - 2x}{6} = 25 \\ \\ = = > x = 25 \times 6 \\ \\ = = > x = 150$

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Hence,

Required number is 150.

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