Question

The average mass of three friends is 36kg. If their masses are 3 consecutive numbers, what is the mass of the lightest person?

Answer 1

Answer:

The weight of the lightest person is 35kg.

Step-by-step explanation:

It has been mentioned here that the respective average mass of the three friends is 36 kg. The masses of the three friends are consecutively 3 numbers. Let us assume the three masses to be n, n+1, and n+2 kg.

Therefore we have the average of the three weights to be:

Average = sum of all the weights / total number of friends

∴ 36 = $\frac{n + n+1 +n +2}{3}$

⇒ 36 = $\frac{3n + 3}{3}$

⇒ 36 = $\frac{3(n+1)}{3}$

⇒ 36 = n + 1

⇒ 36 -1 = n

⇒ n = 35

Therefore the weights of the following three friends are 35, 36, and 37 kg respectively. The weight of the lightest person is 35 kg.