Question

Two numbers are such that one number is 42 more that the second number and their average is equal to 40. What is the larger of the two numbers?

Answer 1

largest of the two number is 61

Explanation:

given,

one number is 42 more that the second number

and average is equal to 40.

let as assume first number be x

so the second no becomes = x + 42

average of the two numbers = 40

`(x+42+x)/(2)=40\\2x+42=80\\x=19`

so the first number is 19

second number will be equal to 19 + 42 = 61

hence the largest of the two number is 61

Answer 2

Answer: The larger number be 61.

Explanation:

Let the second number be 'x'.

Let the first number be 42+x

Average of two numbers = 40

According to question,

`(x+42+x)/(2)=40\\\\(2x+42)/(2)=40\\\\2x+42=80\\\\2x=80-42\\\\2x=38\\\\x=(38)/(2)\\\\x=19`

So, the larger number of the two numbers i.e the first number is

`42+x\\\\=42+19\\\\=61`

Hence, the larger number be 61.