Question

The sum of two number in 46 and ther diffrence in 14 find the grater Number​

Answer 1

Answer:

The sum of two numbers is 46 and their difference is 14. 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 46. In other words, x plus y equals 46 and can be written as equation A:

x + y = 46

The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:

x - y = 14

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

x - y = 14

x = 14 + y

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

x + y = 46

14 + y + y = 46

14 + 2y = 46

2y = 32

y = 16

Now we know y is 16. Which means that we can substitute y for 16 in equation A and solve for x:

x + y = 46

x + 16 = 46

X = 30

Summary: The sum of two numbers is 46 and their difference is 14. What are the two numbers? Answer: 30 and 16 as proven here:

Sum: 30 + 16 = 46

Difference: 30 - 16 = 14

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

$x + y = 46$

$x - y = 14$

$\: \: \: \: \: x + y = 46 \\ + x - y = 14 \\ 2x = 32 \\ x = 16$

$46 - 16 = y = 30$