SOLUTION: The sum of 3 numbers is 33. The 2nd number is 7 less than the 1st, and the 3rd is three times the second. What are the numbers?

Question 170430This question is from textbook Mathematics 9
: The sum of 3 numbers is 33. The 2nd number is 7 less than the 1st, and the 3rd is three times the second. What are the numbers? This question is from textbook Mathematics 9

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the 3 numbers a, b, and c
:
a+b+c=33...eq 1
b=a-7......eq 2
c=3b.......eq 3---->c=3(a-7)---->c=3a-21
:
take b's value in eq 2 and c's value in eq 3 and plug them into eq 1
:
a+(a-7)+(3a-21)=33
:
5a=61
:

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