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o-na [289]
2 years ago
8

The sum of two numbers is 79. Three times the first number added to 5 times the second number is 283. What are the two numbers?

Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

<u><em>The two numbers are 56 and 23.</em></u>

Step-by-step explanation:

Let the two numbers be A and B.

We are told that:

A+B = 79, and

2)  3A + 5B = 283

Rearrange the first expression to isolate A:

A = 79-B

Now use this value of B in the second expression:

3A + 5B = 283

3(79-B) + 5B = 283

237-3B + 5B = 283

2B = 46

B = 23

If B=23, we can find A from (1):  

A+B = 79

A+23 = 79

A = 56

<u>CHECK:</u>

Does A+B = 79?

56 + 23 = 79?  <u><em>YES</em></u>

Does 3A + 5B = 283?

  3(56) + 5(23) = 283?

 168 + 115 = 283?  <u><em>YES</em></u>

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