SOLUTION: the sum of three integers is on hundred seventy five. The second is ten more than twice the first. The third is three times the second. The smallest number is?

Question 304852: the sum of three integers is on hundred seventy five. The second is ten more than twice the first. The third is three times the second. The smallest number is?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+Y+Z=175
Y=2X+10
Z=3Y OR 3(2X+10) OR 6X+30
X+(2X+10)+(6X+30)=175
9X+40=175
9X=175-40
9X=135
X=135/9
X=15 ANSWER FOR THE SMALLEST NUMBER.
Y=2*15+10=30+10=40 ANSWER FOR THE MIDDLE NUMBER.
Z=3*40=120 ANSWER FOR THE LARGEST NUMBER.
PROOF:
15+40+120=175
175=175

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