Question

the mean of 100 numbers is 45. The mean of the last 99 numbers 44. The first number is​

Answer 1

Answer:

The mean of 100 numbers is 45.

∴  Sum of all 100 numbers =100×45=4500

The mean of last 99 numbers is 44.

∴  Sum of all last 99 numbers =99×44=4356

⇒  The first number =4500−4356=144

Answer 2

Answer:

First number = 144

Step-by-step explanation:

Let the first number be x.

Let the sum of the last 99 numbers be y.

So,

$\frac{x + y}{100} = 45 \\ x + y = 4500$

and,

$\frac{y}{99} = 44 \\ y = 4356$

So,

$x + 4356 = 4500 \\ => x = 144$

So, first number is 144.

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