SOLUTION: One number is 36 more than another. If four times the larger number is subtracted from seven times the smaller number, the result is 102. Find the two numbers.

Question 1008962: One number is 36 more than another. If four times the larger number is subtracted from seven times the smaller number, the result is 102. Find the two numbers.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
S=smaller number; L=larger number=S+36
7S-4L=102
7S-4(S+36)=102
7S-4S-144=102
3S=246
S=82
.
ANSWER 1: The smaller number is 82.
.
L=S+36=82+36=118
ANSWER 2: The larger number is 118.
.
CHECK:
7S-4L=102
7(82)-4(118)=102
574-472=102
102=102
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