Question

The sum of two numbers is 84 . If one number is 10 more than the other, the two numbers are ___ ​

Answer 1

Answer:

the two numbers is 47 and 37.

Step-by-step explanation:

let the two number be x and y

y = x +10

x + y = 84

x + x + 10 = 84

2x = 84-10

2x = 74

x = 37

X = 37

Y = X + 10 = 37 + 10 = 47

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Answer 2

In this problem, we are asked to find two numbers. Therefore, we must let x be one of them.  Let x, then, be the first number.

We are told that the other number is 12 more, x + 12.

The problem states that their sum is 84:

word problem = 84

The line over x + 12 is a grouping symbol called a vinculum.  It saves us writing parentheses.

We have:

2x  =  84 − 12

 

  =  72.

 

x  =  72

2

 

  =  36.

This is the first number.  Therefore the other number is

x + 12 = 36 + 12 = 48.

The sum of 36 + 48 is 84.