SOLUTION: Find three consecutive even integers such that the sum of the twice the first, six times the second and three times the third is 133.

Question 123685: Find three consecutive even integers such that the sum of the twice the first, six times the second and three times the third is 133.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x, x+2, x+4
2x+6(x+2)+3(x+4)=133
2x+6x+12+3x+12=133
11x=133-24
11x=109
x=109/11
x=9.9090909 not an even number.
---------------------------------------------------------------
ARE YOU SURE YOU HAVE THE PROPER WORDING IN THIS PROBLEM??????
THREE EVEN NUMBERS WHEN ADDED ADD OR MULTIPLIED MUST BE AN EVEN NUMBER 133 IS NOT AN EVEN NUMBER.
IF THESE ARE NOT EVEN NINTERGERS THEN:
--------------------------------------------------------------
x, x+1, x+2 are the integers.
2x+6(x+1)+3(x+2)=133
2x+6x+6+3x+6=133
11x=133-12
11x=121
x=121
11x=11 answer for the first integer.
11=1=12
11+2=13
proof:
2*11+6*12+3*13=133
22+72+39=133
133=133

RELATED QUESTIONS
Find three consecutive (not even) integers such that the sum of the twice the first, six... (answered by checkley71)

Find three consecutive (not even) integers such that the sum of the twice the first, six... (answered by checkley71,nadinadan)

Find three consecutive even integers such that the sum of three times the first, and... (answered by sachi)

Find two consecutive even integers such that six times the first is three times the... (answered by MathLover1)

Find three consecutive even integers such that the sum of five times the first, six times (answered by Maths68)

Find three consecutive even integers such that three times the second integer is six more (answered by josmiceli)

find three consecutive integers such that the sum of twice the second and three times the (answered by vicgonzerx)

Find three consecutive even integers such that the sum of twice the first, four times the (answered by Cromlix)

Find three consecutive even integers such that the sum of twice the first and three times (answered by math_tutor2020,josgarithmetic)