a) 99,100 and 101

b) 199,200 and 201

c) 299,300 and 301

d) 399,400 and 401

Correct answer is:

b) 199,200 and 201

Explanation

Let,
Three consecutive numbers are x, x+1, x+2.
According to the question,
\left(\large\frac{x+x+1+x+2}{10}\right)\normalsize=60
\rightarrow\left(\large\frac{3x+3}{10}\right)\normalsize=60
\rightarrow 3x+3=600
\rightarrow 3x=\left(600-3\right)
\rightarrow 3x=597
\rightarrow x=\large\frac{597}{3}
\therefore x=199
So that,
Three consecutive numbers are 199,\left(199+1\right)=200,\left(199+2\right)=201
Ans: Three consecutive numbers are 199,200 and 201.