SOLUTION: Correct Question :" Let a and b be distict real numbers for which a/b + (a+10b) / (b+10a) = 2 The value of a/b is a) .5 b) .6 c) .8 d) 1 or .8

Algebra.Com
Question 77271: Correct Question :"
Let a and b be distict real numbers for which
a/b + (a+10b) / (b+10a) = 2
The value of a/b is
a) .5 b) .6 c) .8 d) 1 or .8

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!











we get: 10a - 8b = 0
10a = 8b
a = .8b and b = 1.25a
a / b or .8b / 1.25a or .8(1.25a) / 1.25a = 0.8
we get: a - b = 0
a = b
a / b = b / b = 1
(d)

RELATED QUESTIONS

Let a and b be distinct real numbers for which a/b + (a+10b)/(b+10a) = 2 Find... (answered by CubeyThePenguin,ikleyn)
State whether the conclusion is correct and why or why not: B=10a-60... (answered by stanbon)
Let a, b, c be positive real numbers. Find the minimum value of... (answered by mananth,ikleyn,math_helper)
Let symbol ~ be defined so that a~b equals the smaller of a-b and b-a. For all real... (answered by jim_thompson5910)
Let symbol ~ be defined so that a~b equals the smaller of a-b and b-a. For all real... (answered by jim_thompson5910)
Let a, b, and c be positive real numbers. If a + b + c = 1, then find the minimum value... (answered by CPhill)
. For any numbers a and b , a#b= a + b –ab . If a#b = 0, which of the following (answered by Edwin McCravy)
For f(x) = x + 10 find ( f o f^-1)(5) A. 5 B. all real numbers C. 0 (answered by solver91311)
Let a and b be real numbers such that (a^2 + 1)(b^2 + 4) = 14ab + 21. Find the largest... (answered by CPhill)