Question

The weight of Ramesh is 10 kg less than three times the weight of Jayram. If the total weight of both is 70 kg, find the weight of each one of them. Solve the puzzle using equations.

Answer 1

Let the weight of the Jairam be x kg.

∴ Weight of the Ramesh = 3x - 10

Now, according to the question, Sum of the weight of Ramesh and Jayram = 70 kg.

∴ x + 3x - 10 = 70

⇒ 4x = 80

∴ x = 20

∴ Weight of Jayram = 20 kg.

∴ Weight of Ramesh = 3 × 20 - 10 = 50 kg.

Hope it helps.

Answer 2

Acc to the question, the weight of Ramesh is 10 kg less than three times the weight of Jayram.

Let the weight of Jayram be W kg.

Then weight of Ramesh will be (3W - 10) kg.

In the second case the data given is total weight of both is 70 kg.

i.e. W + (3W - 10) = 70 kg.

or, 4W - 10 = 70kg

or, 4W = 80kg.

or, W = (80 ÷ 4) kg = 20kg.

Therefore, weight of Jayram is 20kg and that of Ramesh is 50kg.