# Algebra

The sum of two numbers is 9. Four times the larger number plus three times the smaller number is 48. Find the numbers. Thank you

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1. let the smaller be x
then the larger is 9-x

" Four times the larger number plus three times the smaller number is 48" ---> 4(9-x) + 3x = 48
36 - 4x + 3x = 48
-x = 12
x = -12

The smaller is -12 and the 21

check:
-12 + 21 = 9 , check!
4(21) + 3(-12) = 48 , check!

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