SOLUTION: Please help with the problem from a work sheet. Four times the sum of two consecutive integers equals 2 more than 14 times the larger integer. Find the integers.

Question 85502: Please help with the problem from a work sheet.
Four times the sum of two consecutive integers equals 2 more than 14 times the larger integer. Find the integers.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the larger integer
Then x-1=the smaller integer
Four times the sum=4(x+x-1)=4(2x-1)
14 times the larger integer=14(x)
2 more than 14 times the larger integer=14x+2
Now we are told that
4(2x-1)=14x+2 get rid of parens
8x-4=14x+2 subtract 14x from and also add 4 to both sides
8x-14x-4+4=14x-14x+2+4 collect like terms
-6x=6 divide both sides by -6
x=-1-----------------------------------larger integer
x-1=-1-1=-2-----------------------------smaller integer
CK
4(-3)=14(-1)+2
-12=-14+2
-12=-12

Hope this helps-----ptaylor

RELATED QUESTIONS
please help me solve this problem... find four consecutive even integers such that twice... (answered by MathTherapy)

Please help me solve this word problem. The sum of four consecutive even integers is ten... (answered by Boreal)

please help me solve this problem find four consecutive even integers such that four... (answered by rothauserc)

can you guys help me again.... 2. Five times the first of two consecutive integers... (answered by greenestamps,josgarithmetic)

The sum of 2 consecutive even integers equals 8 more than 3 times the smaller. Find the... (answered by Fombitz)

the sum of four consecutive integers is 2 more than five times the first... (answered by shanehhhh47)

find four consecutive even integers such that 2 times the sum of the first and second is... (answered by checkley77)

please help me solve this equation: "four times the second of three consecutive integers... (answered by icecream12)