Question

Naveen and Priyanka have a certain number of bananas. Naveen said to Priyanka,”if you give me 30 of your bananas, I will have twice as many left with you.” Priyanka replies,”if you give me 10, I will have thrice as many as left with you,” Find the numbers of bananas, do Naveen and Priyanka have.​

Answer 1

Answer:

let A and B have x and y mangoes respectively.

if A gets 30 mangoes A will have x + 30 mangoes and B will have y - 30  

according, to the problem, x + 30 = 2(y - 30)

                                     or, x + 30 = 2y - 60

                                     or, x - 2y = -90 .......................(i)

Also,                                  3(x - 10) = y + 10

                                     or,3x - 30 = y + 10

                                     or, 3x - y = 40 .........................(ii)

Solving eqn(i) and eqn(ii) we get x = 34 and y = 62

So A and B has 34 and 62 mangoes initially.  

Step-by-step explanation:

, x + 30 = 2(y - 30)

                                     or, x + 30 = 2y - 60

                                     or, x - 2y = -90 .......................(i)

Also,                                  3(x - 10) = y + 10

                                     or,3x - 30 = y + 10

                                     or, 3x - y = 40 .........................(ii)