The three numbers are x, y, z
The sum of the three numbers = x + y + z = 24
Let the first number = x
The second number is five times the first number = y = (x + 5)
The third number is twice as much as the second number = z = 2y = 2(x + 5)
The sum of these numbers = 24
x + y + z = 24
Substituting the values of y and z in terms of x
x + (x + 5) + 2(x + 5) = 24
x + x + 5 + 2x + 10 = 24
4x + 15 = 24
4x = 24 - 15
4x = 9
x = 9 ÷ 4
x = 2.25
Therefore,
x = 2.25
y = (x + 5) = 2.25 + 5 = 7.25
z = 2(x + 5) = 2(2.25 + 5) = 2 x 7.25 = 14.5
Sum of the three numbers = x + y + z = 2.25 + 7.25 + 14.5 = 24
