There are a number of apples to be distributed among a number of children. If each one of them takes 6, then there will be an excess of 5 apples, if each one of them takes 7. then there
will be a shortage of 8 apples. How many children and apples are there?
Answers
Answer:
sorry I no idea
sorry sorry
Given :- There are a number of apples to be distributed among a number of children. If each one of them takes 6, then there will be an excess of 5 apples, if each one of them takes 7. then there will be a shortage of 8 apples.
Answer :-
Let us assume that,
- Total apples = x
- Total children = y .
so, when each one of them takes 6 ,
→ 6 * y + 5 = x
→ x - 6y = 5 ------ Eqn.(1)
and, when each one of them takes 7 ,
→ 7 * y - 8 = x
→ 7y - x = 8 ------- Eqn.(2)
adding Eqn.(1) from Eqn.(2),
→ (7y - x) + (x - 6y) = 8 + 5
→ 7y - 6y - x + x = 13
→ y = 13 .
putting value of y in Eqn.(1)
→ x - 6*13 = 5
→ x = 5 + 78
→ x = 83 .
Hence, Total number of children are 13 and total number of apples are 83.
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