SOLUTION: Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.

Question 952472: Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
first=x; second=x+2; third=x+4; fourth=x+6
2((x+2)+(x+4))=3(x)+32
2(2x+6)=3x+32
4x+12=3x+32
x=20 ANSWER 1: The first integer is 20.
x+2=22 ANSWER 2: The second integer is 22.
x+4=24 ANSWER 3: The third integer is 24.
x+6=26 ANSWER 4: The fourth integer is 26.
CHECK:
2(22+24)=3(20)+32
2(46)=60+32
92=92

RELATED QUESTIONS
Find four consecutive even integers such that twice the sum of the second and third... (answered by MathLover1)

Find four consecutive even integers such that twice the sum of the second and third... (answered by stanbon)

Find three consecutive negative integers such that 3 times the product of the first and... (answered by stanbon)

1) find three positive consecutive odd integers such that the largest decreased by twice... (answered by stanbon)

find 3 consecutive even integers such that five times the second equals twice the sum of... (answered by stanbon)

find three consecutive odd integers such that twice the sum of the first and third... (answered by scott8148,ewatrrr)

Find four consecutive even integers such that the sum of twice the first, five times the... (answered by mananth)

find four consecutive odd integers such that twice the sum of the third and fourth... (answered by pakhi)

1) find 4 consecutive even integers such that the sum of twice the first, five times the... (answered by ankor@dixie-net.com)