SOLUTION: given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a?
Algebra.Com
Question 1101187: given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
given that a+b=c, a+b=d and b=c+d, where d is a possible integer, what is the greatest value of a?
==========================================================
(1) a+b = c
(2) a+b = d
Without going further, you should immediately see that these two equations tell you c=d.
—
(3) b=c+d (which means b=2c=2d)
Plugging in "2c" for "b" in eq(1):
a + 2c = c —> a = -c (= -d)
—
Ans: a = -c (= -d)
—
RELATED QUESTIONS
Given that a+b=c, a+c=d, and b=c+d, where d is a positive integer, what is the greatest... (answered by greenestamps)
Given that a+b=c , a+c=d and b=c+d where d is a positive integer, what is the greatest... (answered by Solver92311)
if a+b+c+d=2001 and b+d=2002, what is the value of... (answered by orca)
The integers -3,-2,-1,0,1,2 and 3 are substituted into the expression a^b+c^d+e^f+g. What (answered by LinnW)
Let a + b + c + d = 29 a + c = 13 and a + b + d = 19 what is the value of a... (answered by Alan3354)
Given that A:B = 2:3, B:C=3:1, C:D=4:5, D:E = 2:1 and A+B+C+D+E = 18900. What is the... (answered by math_tutor2020,greenestamps)
The mean of four unique positive even integers is 12 what is the greatest possible value... (answered by Fombitz)
A positive five –digit integer is in the form ab,cba; where a, b and c are each distinct... (answered by CharlesG2)
The numbers a,b,c,d,e,f,g are positive consecutive integers in increasing order.
Given (answered by Alan3354)