A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers

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12-12-2016
Mathematics

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A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers

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MatCauthon MatCauthon · Answer 1 · 2016-12-12T01:46:57+01:00

MatCauthon MatCauthon

12-12-2016

Call the first number A and the second number B.
A + 2B = 13
2A + B = 20
Solve these equations. You will get the equation
3B = 6. Therefore, B = 2.
Put this into either of the equations to find that A = 9. You can then check by putting A = 9 and B = 2 into both the equations to see if it is true. In this case, it is. Therefore, the solution is A = 9, B = 2.

A = 9, B = 2.

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