Problema Solution
One number is 8 less than another. If twice the larger number is equal to four times the smaller, what is the smaller number?
Answer provided by our tutors
let 'x' and 'y' be the numbers and x>y
one number is 8 less than another
y = x - 8
twice the larger number is equal to four times the smaller
2x = 4y
by solving the system of equations
y = x - 8
2x = 4y
we find
x = 16
y = 8
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the smaller number is 8.