Yayita21
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the sum of two numbers equals 49.The sum of the larger number and twice the smaller number is 70. what are the numbers.

Tell me the steps!

Respuesta :

[tex]x + y = 49 \\ x + 2y = 70[/tex]

[tex]x = 49 - y[/tex]

Substitute that into,
[tex]49 - y + 2y = 70 \\ y = 21[/tex]

Substitute that into,
[tex]x = 49 - 21 \\ x = 28[/tex]

Answer check :
[tex]21 + 28 = 49 \\ 28 + 2(21) = 28 + 42 = 70[/tex]

Answer : The numbers are 21 and 28.

Hope this helps. - M

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