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 :

`(3)/(4)x \\`

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Decrease by 20 means :

`(3)/(4)x - 20 \\`

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Equals to 82 means :

`(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....

`(3)/(4)x - 20 = 82 \\`

Plus sides 20

`(3)/(4)x = 82 + 20 \\`

`(3)/(4)x = 102 \\`

Multiply sides by 4

`3x = 102 * 4`

Divided sides by 3

`x = (102 * 4)/(3) \\`

`x = (102)/(3) * 4 \\`

Simplify

`x = 34 * 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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