Problema Solution

The sum of three numbers is 61. The difference of the largest and the smallest is 50, and the sum of the two smaller numbers is 16. Find the numbers.

Answer provided by our tutors

Let 'x', 'y' and 'z' represent the three numbers, and let x < y < z.

x + y + z = 61

z - x = 50

x + y = 16

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click here to see the system of equations solved for x, y and z

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x = -5

y = 21

z = 45

the numbers are -5, 21 and 45.