innocentangelaga innocentangelaga
  • 15-08-2021
  • Mathematics
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The difference of two numbers is 9. The sum of the two numbers is 15. What are the two numbers?

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Аноним Аноним
  • 15-08-2021

Let numbers be a and b

  • a+b=15--(1)
  • a-b=9---(2)

Adding both

[tex]\\ \qquad\quad\sf\longmapsto 2a=24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=\dfrac{24}{2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto a=12[/tex]

  • Put value in eq(2)

[tex]\\ \qquad\quad\sf\longmapsto 12-b=9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=12-9[/tex]

[tex]\\ \qquad\quad\sf\longmapsto b=3[/tex]

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