The sum of two numbers is 56, and their difference is 10. What are the numbers? A. 33 and 23 B. 30 and 26 C. 20 and 36 D. 20 and 30

Respuesta :

Let's assume

first number =x

second number =y

sum is 56

[tex] x+y=56 [/tex]

[tex] x-y=10 [/tex]

now, we can solve for x and y

we can add both equations

[tex] x+y+x-y=56+10 [/tex]

[tex] 2x=66 [/tex]

[tex] x=33 [/tex]

now, we can find y

[tex] 33+y=56 [/tex]

[tex] y=23 [/tex]

so, option-A............Answer