Question

If three quarters of a number decreased by twenty is equal to eighty two, what is that number?

Answer 1

A number is :

$x$

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Three quarters of it means :

$\frac{3}{4}x$

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Decrease by 20 means :

$\frac{3}{4}x - 20$

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Equals to 82 means :

$\frac{3}{4}x - 20 = 82$

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What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

$\frac{3}{4}x - 20 = 82$

Plus sides 20

$\frac{3}{4}x = 82 + 20$

$\frac{3}{4}x = 102$

Multiply sides by 4

$3x = 102 \times 4$

Divided sides by 3

$x = \frac{102 \times 4}{3}$

$x = \frac{102}{3} \times 4$

Simplify

$x = 34 \times 4$

$x = 136$

So that number is 136 .

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And we're done.

Thanks for watching buddy good luck.

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