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LenaWriter [7]
3 years ago
8

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

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

A number is :

x

_________________________________

Three quarters of it means :

\frac{3}{4}x \\

_________________________________

Decrease by 20 means :

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

_________________________________

Equals to 82 means :

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

_________________________________

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 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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