Question

the sum of tow numbers is 17 and the difference is 1

Answer 1

Answer:

Sum: 9 + 8 = 17

Difference: 9 - 8 = 1

Step-by-step explanation:

The sum of two numbers is 17 and their difference is 1. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:

x + y = 17

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 = 17

1 + y + y = 17

1 + 2y = 17

2y = 16

y = 8

Now we know y is 8. Which means that we can substitute y for 8 in equation A and solve for x:

x + y = 17

x + 8 = 17

X = 9

Summary: The sum of two numbers is 17 and their difference is 1. What are the two numbers? Answer: 9 and 8 as proven here:

Sum: 9 + 8 = 17

Difference: 9 - 8 = 1

Answer 2

Correct Question :

• The sum of two numbers is 17 and their difference is 1. Find the numbers.

Given :

• Sum of Numbers → 17
• Difference of numbers → 1

Have to Find :

• The two Numbers$.$

Solution :

Let us consider the unknown numbers be ' a ' and ' b ' respectively.

Now, According to the Question :

→→ a + b = 17

→→ a - b = 1

Therefore,

We are going to use Elimination method.

a + b = 17 ... (1)

a - b = 1 ... (2)

Adding both, we get

2a = 18

a = 18/2

→ a = 9

Now, Putting the value of ' a ' in equation (1)

9 + b = 17

b = 17 - 9

→ b = 8

Verification :

In order to confirm, let's verify

Substituting, a = 9 , whereas b = 8

➹ a + b = 17

➹ 9 + 8 = 17

★ 17 = 17

➹ a - b = 1

➹ 9 - 8 = 1

★ 1 = 1

L. H. S = R. H.S

Hence, The two numbers are 9 and 8 respectively.