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

User Ovod
by
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1 Answer

3 votes

A number is :


x

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Three quarters of it means :


(3)/(4)x \\

_________________________________

Decrease by 20 means :


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

_________________________________

Equals to 82 means :


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

_________________________________

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.

♥️♥️♥️♥️♥️

User Laalaguer
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