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3241004551 [841]
3 years ago
14

The sum of two numbers is 118. if four times the smallest numbers is subtracted from the largest number the result is 18. Find t

he two numbers.
Mathematics
1 answer:
podryga [215]3 years ago
8 0
Let's say the two numbers are "a" and "b"
"a" being the smaller one, and "b" the larger one

so, their sum is 118, or a + b = 118

if 4 times the smallest, or 4*a or 4a
is subtracted from the largest, "b",  so  b - 4a
equals 18, so b - 4a = 18

thus    \bf \begin{cases}
a+b=118\implies \boxed{b}=118-a\\
b-4a=18\\
----------\\
\left( \boxed{118-a} \right)-4a=18
\end{cases}

solve for "a", to find the smaller one

what's b?   well, b = 118 - a
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