Question

he larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

Answer 1

51 and 12

Explanation:

• Solve

➲ Let a be the bigger number

➲ Let b be the smaller number

`a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51`

Thus,

b = 12, a = 51

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Wrapping up:

➲ Hope this helps.

➲ Address concerns if needed.

➲ Have a great day!