The sum of two number s is 6 1\6.One of these number s is greater than the other by 2.What are these numbers

Answer 1

a = first number

b = second number

6 1/6 = 6 + 1 / 6 = 36 / 6 + 1 / 6 = 37 / 6

The sum of two number s is 6 1/6 means:

a + b = 6 1/6

a + b = 37 / 6

One of these number is greater than the other by 2 means:

b = a + 2

In equation a + b = 37 / 6 replace b by a + 2

a + a + 2 = 37 / 6

2 a + 2 = 37 / 6

Subtract 2 to both sides

2 a = 37 / 6 - 2

2 a = 37 / 6 - 12 / 6 = 25 / 6

a = ( 25 / 6 ) / 2

a = 25 / 12

a = 24 / 12 + 1 / 12 = 2 + 1 / 12 = 2 1/12

b = a + 2 = 25 / 12 + 2

b = 25 / 12 + 24 / 12 = 49 / 12

b = 48 / 12 + 1 / 12 = 4 + 1 / 12 = 4 1/12