SOLUTION: A larger number is 2 less than 5 times the smaller number. If the sum of these numbers is 94, find the larger number.

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Question 673170: A larger number is 2 less than 5 times the smaller number. If the sum of these numbers is 94, find the larger number.

Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
let x = the smaller number
the larger number is 5x-2
their sum is 94 so you add them
5x-2+x=94
6x-2=94
add 2 to both sides
6x=96
divide both sides by 6
x=16
the larger number is 5x-2
5(16)-2
80-2= 78
answer: the larger number is 78
78+16=94