SOLUTION: The sum of two numbers is 37. The sum of the smaller and 5 times the larger is 169. Find the numbers.

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Question 696496: The sum of two numbers is 37. The sum of the smaller and 5 times the larger is 169. Find the numbers.
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Denote the numbers by l and s


"sum of two numbers is 37"
+s%2Bl=37+ .......... Eq(1)


"sum of the smaller and 5 times the larger is 169"
+s+%2B+5l=169+ .......... Eq(2)


Solve the equations simultaneously:
Eq (2) - Eq(1):
+%28s-s%29+%2B+%285l-l%29+=+169-37+
+4l+=+132+
+l+=+33+


Substitute +l+=+33+ into Eq(1):
+s%2B33=37+
+s=4+


"Find the numbers"
s=4, l=33