13.When an amount was distributed among 14 boys, each of them got 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
(A) 5040
(B) 5820
(D) 3920
(C) 5802
SOME ONE PLEASE GIVE ME THE CORRECT ANSWER WITH ATTACHED EXPLANATION. I WILL MARK THE BEST ANSWER THE BRAINLIEST. ALSO GET 5 POINTS.
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Answer:
Let the amount distributed to each individual be x Rs.
When the amount was distributed to 14 boys
∴amount received by each boy=
14
x
When the amount was distributed to 18 boys
∴amount received by each boy=
18
x
According to question,
14
x
−
18
x
=80
⇒
18×14
18x−14x
=80
⇒
18×14
4x
=80
⇒x=
4
18×14×80
⇒x=5040
Total amount=x=5040 Rs.
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