SOLUTION: the larger of two numbers is 8 less than five times the smaller number. the sum of the two numbers is 52. find the two numbers

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Question 517303: the larger of two numbers is 8 less than five times the smaller number. the sum of the two numbers is 52. find the two numbers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
call the numbers a and b
given:
+a+=+5b+-+8+
+a+%2B+b+=+52+
------------
By substitution:
+5b+-+8+%2B+b+=+52+
+6b+=+60+
+b+=+10+
and, since
+a+%2B+b++=+52+
+a+=+52+-+10+
+a+=+42+
The numbers are 42 and 10
check:
+a+=+5b+-+8+
+42+=+5%2A10+-+8+
+42+=+50+-+8+
+42+=+42+
OK