SOLUTION: An integer is four less than twice another. If the product of the two integers is 70, one pair of integers that will satisfy the problem is _________. I just can't seem to compre

Algebra ->  Square-cubic-other-roots -> SOLUTION: An integer is four less than twice another. If the product of the two integers is 70, one pair of integers that will satisfy the problem is _________. I just can't seem to compre      Log On


   



Question 942486: An integer is four less than twice another. If the product of the two integers is 70, one pair of integers that will satisfy the problem is _________.
I just can't seem to comprehend word problems please and thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
An integer is just a counting number, but it can
be + or -
Let the integers be +a+ and +b+
given:
(1) +a+=+2b+-+4+
(2) +a%2Ab+=+70+
-------------------
Substitute (1) into (2)
(2) +%28+2b+-+4+%29%2Ab+=+70+
(2) +2b%5E2+-+4b+=+70+
(2) +b%5E2+-+2b+=+35+
(2) +b%5E2+-+2b+-+35+=+0+
(2) +%28+b+%2B+5+%29%2A%28+b+-+7+%29+=+0+ ( by looking at it )
+b+=+7+
Now find +a+
(2) +a%2Ab+=+70+
(2) +a+=+70%2Fb+
(2) +a+=+70%2F7+
(2) +a+=+10+
------------------
7 and 10 are solutions
check:
(1) +a+=+2b+-+4+
(1) +10+=+2%2A7+-+4+
(1) +10+=+10+
OK
Note that +b+=+-5+ will also work. Just find
+a+ the same way, and you have another solution
Hope this helps