j2aV0almclemazivlu j2aV0almclemazivlu

23-05-2016
Mathematics

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One positive number exceeds 4 times another positive number by 3. The product of the two numbers is 351. What are the two numbers?
A) 6 and 9
B) 6 and 24
C) 9 and 39
D) 25 and 29

Respuesta :

28-05-2016

Hello,
Answer C 9 and 39.

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

==>b*(4b+3)=351
==>4b²+3b-351=0
Δ=9+4*4*351=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=4*9+3=39

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