Problema Solution
the difference of a larger number and a smaller number is 33. Find both numbers if the smaller number is five more than one third the larger number.
Answer provided by our tutors
let 'x' and 'y' represent the numbers and x < y
x is the smaller number
y is the larger number
the difference of a larger number and a smaller number is 33:
y - x = 33
the smaller number is five more than one third the larger number:
x = 5 + (1/3)y
by solving the system of equations:
y - x = 33
x = 5 + (1/3)y
we find:
x = 24
y = 57
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the numbers are 24 and 57.