pls explain ratio

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 197
Joined: Sun May 18, 2008 2:47 am
Thanked: 12 times

pls explain ratio

by shahdevine » Fri Aug 28, 2009 10:58 am
What is the ratio of m to n?

(1) If m is decreased by 3 the ratio of m to n becomes 3 :10.
(2) If m + n is increased by 3 the ratio of m to n becomes 7 to 12.

OA is e...however my question is specifically regarding statement 2.

apparently you can translate that statement as

(m + 2)/(n + 1) = 7/12 or (m +1)/(n + 2) = 7/12

how is that? could someone explain how those algebraic translations are derived?
Source: — Data Sufficiency |

Legendary Member
Posts: 1035
Joined: Wed Aug 27, 2008 10:56 pm
Thanked: 104 times
Followed by:1 members

by scoobydooby » Fri Aug 28, 2009 11:12 am
guess they assumed both m and n had positive increments. so they considered 2 possibilities
:m increased by 1, n by 2
:m increased by 2, n by 1

we could have taken m increased by 6, n decreased by 3 to give m+6/n-3=7/12 .we could take any other combination such that m+n increased by 3