Races and Games Practice Test 1 with solutions

Question : 4 of 40

Marks: +1, -0

A can give B 15 points, A can give C 22 points and B can give C 10 points. How many points make the game?

Solution:

Let x points make the game, then
A has x points while B and C has (x – 15) and (x – 22) points respectively and also if B has x points
then C has (x – 10) points.
Applying chain rule,
x . x (x – 22) = x (x – 15) (x – 10)
⇒

x^2

– 22x = x2 – 25x + 150
⇒ 3x = 150
⇒ x = 50

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