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3 years ago

A number is 6 greater than 1/2 another number. If the sum of the numbers is 21, find the numbers

Mathematics

2 answers:

fiasKO [112]3 years ago

5 0

Answer:

x = 11 ; y =10

Step-by-step explanation:

Hi, to find the numbers you have to write two equations,using the information given:

First equation

X = 6 + 1/2y

Second equation

X + Y = 21

So, substituting equation 1 in to the 2nd equation:

(6 + 1/2Y ) + Y =21

1/2Y +Y = 21 -6

3/2 Y =15

Y=12 /(3/2)

Y= 10

Finally,substituting the value of “Y” in the first equation

X +Y =21

X + 10=21

X= 21-10

X= 11

In conclusion, the answer is:

X=11 ; Y=10

Feel free to ask for more if it´s necessary or if you did not understand something.

DerKrebs [107]3 years ago

3 0

X is the first number
Y is the second number
X+6 = 1/2Y
X+Y = 21

solving both equations will give you
X= 3 and Y =18

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