368,935 views
2 votes
2 votes
One positive integer is 5 less than another. The

product of the two integers is 14. What are the
integers?

User Amit Erandole
by
3.0k points

1 Answer

13 votes
13 votes

Answer:

one is 2 and another is 7

Explanation:

let n be the positive integer and n' be the greater integer.

Given condition

n+5=n' ......eqn i

n×n'=14

n(n+5)=14. [from equation i]

n²+5n-14=0

n²+7n-2n-14=0

(n-2)(n+7)=0

either. or

n=2. n=-7(impossible)

therefore n=2 and hence n'=n+5=7.

User Vcp
by
3.1k points
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