Question

The difference between two numbers is 8. If2 is added to the bigger number the result
will be three times the smaller number. Find the numbers.
​

Answer 1

Answer:

Biggest number:13

Smallest number:5

Step-by-step explanation:

Let the biggest number be:x

Let the smallest number be:y

Then

X-y=8---------------------------1

X+2=3y------------------------2

Subtitution

X=8+y(from 1) ---------------3

Putting the valve of 1 in 2

8+y+2=3y

10=3y-y

10=2y

Y=10/2

Y=5

Putting the value of y in 3

X=5+4

X=13

Biggest number :13

Smallest number:5

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Answer 2

Answer:

Larger number is 13 and smaller number is 5

Step-by-step explanation:

x=larger number; y=smaller number

.

x-y=8

x=y+8 Use this to substitute for x.

.

x+2=3y Substitute for x from above.

(y+8)+2=3y

y+10=3y Subtract y from each side.

10=2y Divide each side by 2.

5=y ANSWER 1: the smaller number is 5.

.

x=y+8=5+8=13 ANSWER 2: The larger number is 13.

.

CHECK:

x+2=3y

13+2=3(5)

15=15