SOLUTION: Find 4 consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than five times the fourth.
Algebra.Com
Question 1080921: Find 4 consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than five times the fourth.
Answer by gsmani_iyer(201) (Show Source): You can put this solution on YOUR website!
Let the consequetive even integers = x, x+2, x+4, x+6.
As per the condition, (x+x+4)*3 = 5(x+6)-28
= 6x+12 = 5x+30-28. Bringing the variable to left side,
= 6x-5x = 30-28-12
= x = -10; x+2 = -8; x+4 = -6; x+6 = -4
Therefore the nos. are -10, -8. -6, -4. Answer.
I hope you understood this solution. Always feel free to contact me at gsmani9@yahoo.com If you have any doubt.
God bless you.
RELATED QUESTIONS
find four consecutive integers such that if the sum of the first and third is multiplied... (answered by malglu)
Find four consecutive even integers such that if the sum of the first and third is... (answered by ankor@dixie-net.com)
find four consecutive even integers such that if the sum of the first and third is... (answered by josgarithmetic)
If 8 is subtracted from the third of 3 consecutive odd integers and the result is... (answered by bucky)
find 3 consecutive even integers such that 4 times the sum of the first and the third is... (answered by only4christ)
find four consecutive integers such that if the sum of the first and third is increased... (answered by stanbon)
Find three consecutive even integers such that the sum of the first and third is... (answered by HasanSahin)
find 3 consecutive even integers such that 4 times the sum of the first and second minus... (answered by CubeyThePenguin)
Find three consecutive even integers such that 4 times the sum of the first and third is... (answered by josgarithmetic)