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The larger of two numbers is 1 less than 8 times the smaller. Their sum is 179. Find the numbers

Guest Feb 25, 2015

Best Answer 

 #1
avatar+17744 
+5

Let L represent the larger.

Let S represent the smaller.

"The larger is 1 less than 8 times the smaller"   --->   L  =  8S - 1

"Their sum is 179"   --->   L + S  =  179

Substitute:             --->   (8S - 1) + S  =  179

                             --->   9S - 1  =  179

                             --->   9S  =  180

                             --->   S  =  20

Since L + S = 179   --->   L + 20  =  179   --->   L  = 159

geno3141  Feb 25, 2015
 #1
avatar+17744 
+5
Best Answer

Let L represent the larger.

Let S represent the smaller.

"The larger is 1 less than 8 times the smaller"   --->   L  =  8S - 1

"Their sum is 179"   --->   L + S  =  179

Substitute:             --->   (8S - 1) + S  =  179

                             --->   9S - 1  =  179

                             --->   9S  =  180

                             --->   S  =  20

Since L + S = 179   --->   L + 20  =  179   --->   L  = 159

geno3141  Feb 25, 2015

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