Adil and Aarav together have 45 silver coins. Both of them lost 5 silver coins each and the
product of the number of silver coins they now have, is 124. Find out how many silver coins
they had to start with?
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Answer:
adil marbles be x
aarav marbles be = 45-x
adil lost 5 marbles = x-5
aarav lost 5 marbles = 45-x-5 = 40-x
(x-5)(40-x) = 124
40x - x^2 - 200 + 5x = 124
- x^2 + 45x -200 = 124
-x^2+ 45x -324
-x^2 + 36x + 9x - 324 = 0
-x ( x- 36 ) + 9 ( x- 36 )
( -x + 9 ) ( x - 36 )
x = -9 and x = 36
since x cant be -9
therefore x is 36
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