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Two numbers have a sum of 70, and 5 times the first number minus the second number
is equal to 26. What are the two numbers?
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If x is the first number, then (70-x) is the second number.
Write an equation connecting the two numbers as you read the problem
5x - (70-x) = 26 (1)
Simlify it and find x
5x - 70 + x = 26
5x + x = 26 + 70
6x = 96
x = 96/6 = 16.
ANSWER. The numbers are 16 and 70-16 = 54.
CHECK. Left side of equation (1) is 5*16 - 54 = 80 - 54 = 26. ! Correct !
Solved.