Question

sum of two numbers is 15 and their difference is 7 .find the numbers​

Answer 1

x = larger number

y = smaller number

x + y = 15

x - y = 7

use the elimination method to eliminate the y variable, and then solve for x

add the two equations

x + y = 15

x - y = 7

------------------

2x + 0 = 22

solve for x by dividing each side of the equation by 2

2x = 22

2x / 2 = 22 / 2

x = 11

substitute 11 for the value of x in the first equation, and then solve for y

x + y = 15

11 + y = 15

subtract 11 from each side of the equation

11 - 11 + y = 15 - 11

0 + y = 4

y = 4

final answer:

x = 11

y = 4

Answer 2

Answer: 11 and 4

Step-by-step explanation:

• Let, the numbers be x and y.
• According to question x+y=15 and x-y=7.
• Adding the above two equations we get

           2x=22

       ⇒  x=$\frac{22}{2}$

       ∴ x=11

And y=4.

• Hence, the required numbers are 11 and 4.

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