Problem: If a−1=b+2=c−3=d+4a-1=b+2=c-3=d+4a−1=b+2=c−3=d+4, which of the four quantities a,b,c,da, b, c, da,b,c,d is the largest?
Answer Choices:
A. aaa
B. bbb
C. ccc
D. ddd
E. none of these answers
Solution:
Adding 333 to each expression in the equality of the problem, we obtain
c=a+2=b+5=d+7c=a+2=b+5=d+7 c=a+2=b+5=d+7
It is now easy to see that ccc is always the largest.