Question

Watermelon A is 2 kg lighter than watermelon B and it weighs one fifth of the weight of watermelon C. Watermelons A and C together are 3 times as heavy as watermelon B. How heavy is each watermelon?

Answer 1

Given: Watermelon A is 2 kg lighter than watermelon B and it weighs one fifth of the weight of watermelon C. Watermelons A and C together are 3 times as heavy as watermelon B.

To find:  How heavy is each watermelon?

Solution:

• Let the first watermelon be x, second be y and third be z.

• According to the question, we have:

                x + 2 = y    .................(i)

                5x = z        ................ (ii)

                x + z = 3y  .................(iii)

• Now solving them, we get:

• Putting Putting i, ii in iii, we get:

                x + 5x = 3(x+2)

                6x = 3x + 6

                3x = 6

                x = 2

• Putting x = 2 in i and ii, we get:

                y = 2 + 2 = 4

                z = 5(2) = 10

Answer:

                 So the first watermelon weigh 2 kg, second weigh 4 kg and third watermelon weigh 10 kg.