# The difference between two numbers is 8; if 2 be added to the greatet the result will be three times the smaller:find the numbers

2
by mamu

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by mamu

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Let the numbers be a and b.

a - b = 8

⇒a = b+8

a+2 = 3b

⇒b+8+2 = 3b

⇒b+10 = 3b

⇒10 = 3b-b = 2b

⇒b = 10/2 =**5**

a = b + 8 =**13**

The numbers are 5 and 13.

a - b = 8

⇒a = b+8

a+2 = 3b

⇒b+8+2 = 3b

⇒b+10 = 3b

⇒10 = 3b-b = 2b

⇒b = 10/2 =

a = b + 8 =

The numbers are 5 and 13.

let number be x and y

x-y=8.....1

let x be the greatest obviosly otherwise number will be negative

x+2=3y.....2

x+2-y=10.....3

substtuting 2 in 3

3y-y=10

y=5

x=8+5

x=13