A number is :
[tex]x[/tex]
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Three quarters of it means :
[tex] \frac{3}{4}x \\ [/tex]
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Decrease by 20 means :
[tex] \frac{3}{4}x - 20 \\ [/tex]
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Equals to 82 means :
[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]
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What is that number ?
x asked so we must solve the above equation for x.
Let's do it....
[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]
Plus sides 20
[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]
[tex] \frac{3}{4}x = 102 \\ [/tex]
Multiply sides by 4
[tex]3x = 102 \times 4[/tex]
Divided sides by 3
[tex]x = \frac{102 \times 4}{3} \\ [/tex]
[tex]x = \frac{102}{3} \times 4 \\ [/tex]
Simplify
[tex]x = 34 \times 4[/tex]
[tex]x = 136[/tex]
So that number is 136 .
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And we're done.
Thanks for watching buddy good luck.
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