Question

the sum of two number is 67 and their difference is 55 find the number​

Answer 1

Answer:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 67. In other words, x plus y equals 67 and can be written as equation A:

x + y = 67

The difference between x and y is 55. In other words, x minus y equals 55 and can be written as equation B:

x - y = 55

Now solve equation B for x to get the revised equation B:

x - y = 55

x = 55 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 67

55 + y + y = 67

55 + 2y = 67

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 67

x + 6 = 67

X = 61

Summary: The sum of two numbers is 67 and their difference is 55. What are the two numbers? Answer: 61 and 6 as proven here:

Sum: 61 + 6 = 67

Difference: 61 - 6 = 55