Question

46
Mathematics VIII
2.
The difference between two numbers is 8. If 2 is added to the bigger number the result
will be three times the smaller number. Find the numbers.​

Answer 1

Answer:

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

Answer 2

Answer:

16 - 8

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