Question

A and B each have a certain number of mangoes. A says to B, ”If you give

me 30 of your mangoes, I will have twice as many left with you”. B replies,

“If you give me 10, I will have thrice as many left with you”. How many

mangoes did each have?​

Answer 1

Step-by-step explanation:

suppose A in having x mangoes and B is having y mangoes

A/c to the question

x+30=2(y-30)

x=2y-60-30

x=2y-90..... equation 1

and,

y+10=3(x-10)

y=3(x-10)-10

from equation 1

y=3(2y-90-10)-10

y=6y-300-10

5y=310

y=62 And x =2×62-90=124-90=34

so A is having 34 mangoes and B is having 62 mangoes