The sum of the three number is 92. the third is 3 times the first, the first number is 7 less than the second. what are the numbers?

Let x represent the first number, y represent the second, and z represent the third.

x + y + z = 92

z = 3x

x = y - 7

Solve x = y - 7 for y.

x = y - 7

x + 7 = y

Fill in y and z so that we only have to worry about x for now.

x + y + z = 92

x + (x + 7) + (3x) = 92

x + x + 7 + 3x = 92

5x + 7 = 92

5x = 92 - 7

5x = 85

x = 85/5

x = 17

Solve for y.

y = x + 7

y = (17) + 7

y = 24

Solve for z.

z = 3x

z = 3 (17)

z = 51

So x = 17, y = 24, and z = 51.

89 and 82 I might be wrong so sorry if I am though