Question

The sum of two number is 35and their difference is 1 find the number

Answer 1

the sum of two number is 35 and their difference is 1 . let,s start by calling the two numbers we are looking for x and y.

The sum of x and y is 35. In other words, x plus y equals 35 and can be written as equation A:

x + y = 35

The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B:

x - y = 1

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

x - y = 1

x = 1 + y

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

x + y = 35

1 + y + y = 35

1 + 2y = 35

2y = 34

y = 17

Now we know y is 17. Which means that we can substitute y for 17 in equation A and solve for x:

x + y = 35

x + 17 = 35

X = 18

Summary: The sum of two numbers is 35 and their difference is 1. What are the two numbers? Answer: 18 and 17 as proven here:

Sum: 18 + 17 = 35

Difference: 18 - 17 = 1

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