Question

S. 162 the average of three consecutive numbers is 15. What is the new average when the three numbers are multiplied by 3? / त

Answer 1

Step-by-step explanation:

Let the first number be X,

then Definitely other numbers would be X+1 and X+2,

$\frac{x + x + 1 + x + 2}{3} = 15 \\ 3x + 3 = 45 \\ 3x = 42 \\ x = 14.$

So, numbers are 14, 15 and 16.

When multiplied by 3,

New numbers are 42, 45 and 48.

Now average=

$\frac{42 + 45 + 48}{3} = 14 + 15 + 16 = 45.$

So, the correct answer is 45.