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The sum of two numbers is 27. One number is 3 more than the other. Write and solve a system of equations to find the two numbers

Respuesta :

texaschic101
x + y = 27
x = y + 3

y + 3 + y = 27
2y + 3 = 27
2y = 27 - 3
2y = 24
y = 24/2
y = 12

x = y + 3
x = 12 + 3
x = 15

ur numbers are 12 and 15
Solution:
Let, a number be x and another be x +3.
By question,
x + x +3=27
or, 2x=27-3
or, 2x = 24
or, x = 24/2
or, x = 12
Then,
One number is 12.
And, another number = 12+3= 15.
Hence,
The numbers are 12 and 15.

Hope it helped.

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