Problema Solution
The second of three numbers is 8 more then the first, and the third number is 3 less than 3 times the first. If the third number is 15 more than the second, find the three numbers.
Answer provided by our tutors
let x be the first number
y be the second number
z be the third number
based on the given, the equations are:
y = x + 8
z = 3x - 3
z = y + 15
in the 3rd equation, we can substitute the value of y.
z = (x + 8) + 15
z = x + 23
since z = z, we can equate the 2nd and 3rd equations,
z = z
x + 23 = 3x - 3
x = 13
now, get the values of y and z by substitution...
y = x + 8
y = 21
z = y + 15
z = 36