Question 126

P and Q have a certain number of Mangos. P says to Q: “If you give me 30 of your mangoes. I will have twice as many as left with you”. Then Q replies as “If you give me 10 mangoes, I will have thrice as many as left with you”. Then how many mangoes P had at the beginning?

Solution

Let P have p mangos and Q have q mangoes

Condition 1:  p+30 = 2(q-30)

Condition 2: q+10 = 3(p-10)

Solving both these equations we get p=34 and q=62


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