SOLUTION: Find two consecutive numbers such that the sum of two times the smaller and three times the larger is 113.

SOLUTION: Find two consecutive numbers such that the sum of two times the smaller and three times the larger is 113.

Algebra.Com

Question 847665:
Find two consecutive numbers such that the sum of two times the smaller and three times the larger is 113.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
LET X BE THE FIRST (SMALLER ) NUMBER.
LET (X+1) BE THE NEXT NUMBER.
2x+3(x+1)=113
2X+3X+3=113
5X=113-3
5X=110
X=110/5
X=22 ANS. FOR THE FIRST NUMBER
22+1=23 ANS. FOR THE NEXT NUMBER.
PROOF:
2*22+3*23=113
44+69=113
113=113

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