Question

The average weight of 19 men in a ship is increased by 3.5 kg when one of the men, who weighs 79 kg, is replaced by a new man. Find the weight of the new man upto 2 decimal places

Answer 1

Answer:  The required weight of the new man is 145.50 kg.

Step-by-step explanation:  Given that the average weight of 19 men in a ship is increased by 3.5 kg when one of the men, who weighs 79 kg, is replaced by a new man.

We are to find the weight of the new man up to 2 decimal places.

Let the sum of the weights of the 18 fixed men be S kg and the weight of the new man be w kg.

Then, according to the given information, we have

$\dfrac{S+79}{19}=\dfrac{S+w}{19}-3.5\\\\\\\Rightarrow \dfrac{S+79}{19}=\dfrac{S+w-66.5}{19}\\\\\\\Rightarrow S+79=S+w-66.50\\\\\Rightarrow  79=w-66.50\\\\\Rightarrow w=79+66.50\\\\\Rightarrow w=145.50.$

Thus, the required weight of the new man is 145.50 kg.