the larger of two numbers is 15 more than three times the smaller number. if the sum of the two numbers is 63, find the numbers.

Respuesta :

Answer:

The larger number is 51 and the smaller number is 12

Step-by-step explanation:

Let

x -----> the larger number

y ----> the smaller number

we know that

the larger of two numbers is 15 more than three times the smaller number

[tex]x=3y+15[/tex] -----> equation A

the sum of the two numbers is 63

[tex]x+y=63[/tex] ----> equation B

substitute equation A in equation B and solve for y

[tex]3y+15+y=63[/tex]

[tex]4y+15=63[/tex]

[tex]4y=63-15[/tex]

[tex]4y=48[/tex]

[tex]y=12[/tex]

Find the value of x

[tex]x=3y+15[/tex] ----> [tex]x=3(12)+15=51[/tex]

therefore

The larger number is 51 and the smaller number is 12

Answer:

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Step-by-step explanation:

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