Question

A and B have certain no. of mangoes.A says to B if you give 30 of your mangoes.I will have twice as many as left with you B replies if you give me 10.I will have thrice as many as left with you.How many mangoes does each have.

Answer 1

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.  

Answer 2

it will help you definitely......