The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?​Shown working out please

Respuesta :

Let numbers be x and y

ATQ

  • x+y=49---(1)

  • x-y=9---(2)

Adding both

[tex]\\ \sf\longmapsto 2x=58[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{58}{2}[/tex]

[tex]\\ \sf\longmapsto x=29[/tex]

Now putting value in eq(2)

[tex]\\ \sf\longmapsto x-y=9[/tex]

[tex]\\ \sf\longmapsto 29-9=y[/tex]

[tex]\\ \sf\longmapsto y=20[/tex]