One number is 2 more than 3 times another. Their

Teddy Dillard 2022-01-05 Answered
One number is 2 more than 3 times another. Their sum is 22. Find the numbers.
a) 8, 14
b) 5, 17
c) 2, 20
d) 4, 18
e) 10, 12

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Expert Answer

Beverly Smith
Answered 2022-01-06 Author has 1989 answers
Let x be the first number and y be the second one.
If the sencond number is 2 more that 3 times the first number, we have:
\(\displaystyle{y}={2}+{3}{x}\)
The sum of them is 22, so
\(\displaystyle{x}+{y}={22}\)
Replace y by \(\displaystyle{2}+{3}{x}\) in the previous equation
\(\displaystyle{x}+{\left({2}+{3}{x}\right)}={22}\)
\(\displaystyle{x}+{2}+{3}{x}={22}\)
\(\displaystyle{4}{x}+{2}={22}\)
\(\displaystyle{4}{x}={22}-{2}\)
\(\displaystyle{4}{x}={20}\)
\(\displaystyle{x}={5}\) is the first number, then the second is:
\(\displaystyle{y}={2}+{3}\times{5}\)
\(\displaystyle{y}={17}\)
Thus, the answer is 5 and 17.
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recoronarrv
Answered 2022-01-07 Author has 551 answers
The answer is B (5, 17)
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