Question

The weight of Raju is 5 kg less than double the weight of Vinod. If the total weight of both is 40 kg, prepare the equation to find out the weight of each one. Prepare equation for the given situation.

Answer 1

Let the weight of the Vinod be x kg.

∴ Weight of the Raju = 2x - 5 kg.

Now, Sum of there weights = 40 kg.

∴ x + 2x - 5 = 40

⇒ 3x = 45

∴ x = 15 kg.

∴ Weight of the Vinod is 15 kg.

Also, weight of the Raju is 40 - 15 = 25 kg.

Hope it helps.

Answer 2

Acc to the question, the weight of Raju is 5 kg less than double the weight of Vinod.

Let the weight of Vinod be W kg.

Then weight of Raju will be (2W - 5)kg.

Second condition given is if the total weight of both is 40 kg, then we have to prepare the equation to find out the weight of each one.

i.e. ( weight of Raju) + ( weight of Vinod) = 40kg.

or, (2W - 5)kg + W kg = 40kg

or, 2Wkg - 5kg + W kg = 40kg

or, 2W + W - 5kg = 40kg

or, 3W = 40kg + 5kg = 45kg.

or, W = (45 ÷ 3)kg = 15kg.

Therefore, weight of Raju = (2W - 5)kg. = (2 × 15 - 5)kg. = 25kg.

and Weight of Vinod is 15kg.