Anonymous

The sum of three numbers is 84 . The second number is 3 times the third. The third number is 6 more than the first . What are the numbers?

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Ray Dart answered

f + s + t = 84                      (1)

s = 3t                                  (2)

t = f + 6                              (3)

substitute for s in (1)

f + 4t = 84                          (4)

substitute for t in (4)

f + 4(f + 6)  = 84

simplify

5f + 24 = 84

f = 12

sub for f in (3)

t = 18

sub for t in (2)

s = 54

Check 

f + s + t = 84 - answer is correct.

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