Question

Half of the number, added to one fifth of three less than the number, is equal to two thirds the number

Answer 1

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Answer 2

Given:

Half of the number, added to one fifth of three less than the number, is equal to two thirds the number

To Find:

Find Number .

Solution:

Let the number be x

Half of the number =$\frac{x}{2}$

One fifth of three less than the number = $\frac{1}{5}(x-3)$

Two thirds the number = $\frac{2}{3}x$

ATQ

$\frac{x}{2}+\frac{x-3}{5}=\frac{2}{3}x\\\frac{x}{2}+\frac{x-3}{5}-\frac{2}{3}x=0\\\frac{15x+6x-18-20x}{30}=0\\\frac{x-18}{30}=0\\x=18$

Hence The number is 18