Question

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

Step-by-step explanation:

x - y = 8 __________eqn 1

(x+2) = 3y

x-3y = -2 __________eqn 2

y = 5 and x = 13

Answer 2

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

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Heya! Sorry I replied you very late

Thank You for both wish and gif