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andrey2020 [161]
3 years ago
15

A sum of two numbers is 16 three times the larger number decreased by the smaller number is 72 find the two numbers

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
Let a = the larger number 
<span>b = the smaller number </span>

<span>a + b = 16 </span>
<span>3a - b = 72 </span>

<span>a = 16 - b </span>

<span>3(16 - b) - b = 72 </span>

<span>48 - 3b - b = 72 </span>

<span>-4b = 24 </span>

<span>b = -6 </span>

<span>a = 16 - (-6) </span>

<span>a = 22 </span>

<span>The two numbers are: </span>
<span>22 and -6</span>
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