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23-05-2016
Mathematics

Answered

One positive number exceeds 4 times another positive number by 3. The product of the two numbers is 351. What are the two numbers?

A6 and 9
B6 and 24
C9 and 39
D25 and 29

Verified Answer :

28-05-2016

Hello,
Answer C 9 and 39.

Let a the first and b the second
a=4b+3
ab=351

==>b(4b+3)=351
==>4b²+3b-351=0
Δ=9+44351=5625=75²
==>b=(-3-75)/8 =-9.75 ==>a=4(-9.75)+3=-36 (excluded) a>0
or b=(-3+75)/8=9 and a=49+3=39

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