Algebra

alokmahesh07 · Posted: Sat Aug 18, 2007 7:51 am Post subject: Algebra

Can someone solve this one for me ?
Archie, Betty and Coach bought a radio. Archie paid the least amount of money, Coach paid twice as much as Archie, and Betty paid the most. Archie paid seventy dollars less than the difference between what Betty and Coach paid. If Archie had paid twice as much as he did pay, Betty and Coach would have each paid ten dollars less. Which of the following equals the amount Betty paid?

40

90

130

140

Insufficient information

krishnamurthyu · Posted: Sat Aug 18, 2007 8:23 am Post subject:

Given:
A + B + C = X ------1
C = 2A , ------- 2
A < C < B
A = (B-C ) - 70 -------3
2A + (B + C ) -10 -10 = X : --------4.

4-1 : A-20 = 0;
A = 20
C = 2 * 20 = 40

From 3:
20 = B-40-70
B=20+110
=130
=Ans.C