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?

Respuesta :

Answer: The larger number be 61.

Step-by-step explanation:

Let the second number be 'x'.

Let the first number be 42+x

Average of two numbers = 40

According to question,

[tex]\dfrac{x+42+x}{2}=40\\\\\dfrac{2x+42}{2}=40\\\\2x+42=80\\\\2x=80-42\\\\2x=38\\\\x=\dfrac{38}{2}\\\\x=19[/tex]

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

[tex]42+x\\\\=42+19\\\\=61[/tex]

Hence, the larger number be 61.

Answer:

largest of the two number is 61

Step-by-step 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

[tex]\dfrac{x+42+x}{2}=40\\2x+42=80\\x=19[/tex]

so the first number is 19

second number will be equal to 19 + 42 = 61

hence the largest of the two number is 61

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