In a game, Arun scored 3 points more than thrice a number of points, scored by Vivek. If the product of their scores be 90 points, find the number of points scored by each.
Answers
the number of points scored by each =5
Given :- In a game, Arun scored 3 points more than thrice a number of points, scored by Vivek. If the product of their scores be 90 points, find the number of points scored by each. ?
Solution :-
Let us assume that, vivek scored x points in the game.
Than,
→ Arun scored = 3 points more than thrice a number of points, scored by Vivek.
→ Arun scored = 3 + 3x
→ Arun scored = (3x + 3) points.
given that, the product of their scores be 90 points .
Therefore,
→ x * (3x + 3) = 90
→ 3x² + 3x - 90 = 0
→ 3(x² + x - 30) = 0
→ x² + x - 30 = 0
→ x² + 6x - 5x - 30 = 0
→ x(x + 6) - 5(x + 6) = 0
→ (x - 5)(x + 6) = 0
→ x = 5 or (-6).
Hence,
→ vivek scored points = 5 or (-6) . { Points in negative also possible depends on game , if negative marking is their.}
→ Arun scored points = 18 or (-15).
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