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sleet_krkn [62]
3 years ago
7

When A is added to twice B, the result is 21. When B is added to twice A, the result is 18. What are the two numbers?

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
When A is added to twice B, the result is 21
a + 2b = 21
When B is added to twice A, the result is 18
b + 2a = 18
From the first equation;
a = 21 - 2b
Substitute the value of a in the 2nd equation
b + 2(21 - 2b) = 18
Simplify
b + 42 - 4b = 18
Collect like terms
b - 4b = 18 - 42
- 3b =  - 24
Divide both sides by - 3
b =  \frac{24}{ - 3}
b = 8
Substitute the value of b in the first equation
a + 2b = 21 \\ \\  a + 2(8) = 21
a + 16 = 21
Simplify
a = 21 - 16 \\  \\ a = 5
Therefore, A is 5 and B is 8. Hope I helped? ☺️
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