Problema Solution
jabari is thinking of three numbers. The greatest number is twice as big as the least number. the middle number is three more than the least number. the sum of the three numbers is 75. find the numbers.
Answer provided by our tutors
let 'x', 'y' and 'z' be the numbers and x<y<z
the greatest number is twice as big as the least number
z = 2x
the middle number is three more than the least number
y = 3 + x
the sum of the three numbers is 75
x + y + z = 35
by solving the system of equations
z = 2x
y = 3 + x
x + y + z = 35
we find
x = 8
y = 11
z = 16
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the numbers are 8, 11 and 16.