SOLUTION: Find four consecutive even integers such that the sum of the first and second is 70 less than the product of the third and the fourth.

SOLUTION: Find four consecutive even integers such that the sum of the first and second is 70 less than the product of the third and the fourth.

Algebra.Com

Question 477997: Find four consecutive even integers such that the sum of the first and second is 70 less than the product of the third and the fourth.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the numbers be
x,x+2,x+4,x+6
x+x+2= (x+4)(x+6)-70
2x+2=x^2+10x+24-70
x^2+10x-2x+24-70-2=0
x^2+8x-48=0
x^2+12x-4x-48=0
x(x+12)-4(x+12)=0
(x+12)(x-4)=0
x=-12 OR x=4
-12,-10,-8,-6
OR
4,6,8,10
RELATED QUESTIONS
Find four consecutive even integers such that the product of -2 and the sum of the first... (answered by Fombitz)

Find three consecutive even integers such that the product of the first and second is... (answered by stanbon)

find the second of the three consecutive positive even integers such that the product of... (answered by ewatrrr,MathLover1)

Please help me solve this: find three consecutive even integers such that the sum of the... (answered by sudhanshu_kmr)

Find three consecutive even integers such that the product of five and the third integer... (answered by atique.ah)

Find four consecutive even integers such that the product of -12 and the sum of the first (answered by math_tutor2020)

find three consecutive even integers such that four times the sum of the first and third... (answered by edjones)

Find four consecutive even integers such that the square of the sum of the first and... (answered by josgarithmetic,MathTherapy)

Find three consecutive even integers such that the product of the first and the third is... (answered by mananth)