AVR - three friends

$2250 is divided among three friends, Ajay, Vijay, and Raj, in such a way that 1/6th of Ajay's share, 1/4th of Vijay's share, and 2/5th of Raj's share is equal. Find Ajay's share.

Correct answer:

A =  1080 USD

Step-by-step explanation:

x=2250 USD  A/6 = V/4 = 2/5R A+V+R=x  6A​=4V​ 4V​=52​R A+V+R=x 6A​=4V​ 4V​=52​R A+V+R=2250  A/6=V/4 V/4=2/5⋅ R A+V+R=2250  2A−3V=0 8R−5V=0 A+R+V=2250  Row3−21​⋅ Row1→Row3 2A−3V=0 8R−5V=0 R+2.5V=2250  Row3−81​⋅ Row2→Row3 2A−3V=0 8R−5V=0 3.125V=2250  V=3.1252250​=720 R=80+5V​=80+5⋅ 720​=450 A=20+3V​=20+3⋅ 720​=1080=1080 USD  A=1080 R=450 V=720

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