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julia-pushkina [17]
2 years ago
10

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Mathematics
1 answer:
Olin [163]2 years ago
8 0
If we take the numbers to be hmm say "a" and "b"
let's say "a" is the bigger number, how big?

well "<span>One number is 10 more than another"
so... whatever "b" is, "a" is THAT plus 10, or
a = b+ 10

now, how much is twice the smaller? the smaller is b
twice b, is 2 * b or 2b

what about three times the larger? the larger is a
thrice a is 3 * a or 3a

we're told that 2b + 3a = 55
thus</span>\bf \begin{cases}&#10;a=b+10&#10;\\\\&#10;2b+3a=55\\&#10;--------------\\&#10;2b+3\left( \boxed{b+10} \right)=55&#10;\end{cases}

solve for "b", to see what the smaller one is

what about "a"? well, a = b + 10
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