1.

Three bags A, B and C contain apples. If 170 appies are moved from bag B to C, the ratio of the number of apples in bag A and bag C would be reversed. Instead, if 40 apples are moved from bag A to bag C then the number of apples in bag A and bag C will be equal. Find the number of apples in bag A and bag C together.

Answer»

number of apples in bag A and bag C together. = 1360

Step-by-step explanation:

Let SAY Apples in Bag A , B & C are respectively A , B & C

If 170 apples are moved from bag B to C, the RATIO of the number of apples in bag A and bag C would be reversed.

A /(C  + 170)  = C/A

=> A² = C² + 170C

40 apples are moved from bag A to bag C then the number of apples in bag A and bag C will be equal.

=> A - 40  = C + 40

=> A = C + 80

Squaring both sides

=> A² = C² + 160C + 6400

C² + 170C = C² + 160C + 6400

=> 10C = 6400

=> C = 640

A = C + 80 = 720

A + C = 640 + 720  = 1360

number of apples in bag A and bag C together. = 1360

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