A and B each have a certain number 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?. Created by ishu010. Math

Answer:Let the number of mangoes A has, be x and the number of mangoes B has, be y Therefore, 30 + x = 2(y - 30) ...(i) as A says and, 10 + y = 3 (x - 10) ... (ii), as B says On Simplification, x - 2y + 90 = 0...(iii) - 6x + 2y + 80 = 0...(iv) On Adding (iii) and (iv) - 5x + 170 = 0 = x = 34 mangoes putting x in (i),34 - 2x + 90 = 0 2y = 124 y = 62 mangoes || हर हर महादेव ||♡