There are two baskets A and B,if 10 apples fromA are put into basketB,then number of apples in B becomes four tumes of A.if 5 apples from B are put into basket A then nunber of apples in both baskets becomes equal then hw many apples are in total
Answers
Answer:
There are 20 apples in basket A and 30 apples in basket B.
Step-by-step explanation:
Step 1 : Let the number of apples in A be x and those in B is y.
Step 2 : Analyze the information given in the question.
If 10 apples are removed from A and added to B then:
A : x - 10
B : y + 10
When we do these the relationship becomes :
4(x - 10) = y + 10
4x - 40 = y + 10
4x - y = 10 + 40
4x - y = 50
If 5 apples are removed from B and put in A then we have :
A : x + 5
B : y - 5
The relationship becomes :
y - 5 = x + 5
y - x = 10
Step 3 : Solve the two equations simultaneously.
4x - y = 50...........1)
y - x = 10..............2)
Adding 1 and 2:
4x - x = 60
3x = 60
x = 60/3
x = 20
Substitute x in 2:
y - 20 = 10
y = 10 + 20
y = 30
Step 4 : answer the question.
There are 20 apples in basket A and 30 apples in basket B.