Problema Solution
Three numbers are such that the second number is 5 more than the first, and the third number is 4 more than three times the second. The sum of the three numbers is 134. Find the numbers.
Answer provided by our tutors
We will use x, y, and z to represent the three numbers.
Based on the aboive text,
x = x
y = x + 5
z = 3y + 4 which means 3(x+5) +4
Therefore
x + x+ 5 +3(x + 5) +4 = 134
x + x+ 5 +3x + 15 +4 = 134
5x + 24 = 134
5x = 110
x = 22
We know that by plugging in x we can figure out the rest of the numbers.
y = x + 5 = 22 + 5 = 27
z = 3(x + 5) + 4 = 3(27) + 4 = 81 + 4 = 85
22 + 27 + 85 = 134