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kodGreya [7K]
3 years ago
14

Five times the larger number is 11 more than three time the smaller number. Also three times the smaller is 16 less four times t

he larger number. WHat are the Numbers?
Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0
Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12
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See explanation

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