Question

The sum of two numbers is 14. the larger number minus three times the lesser number -2. what is the lesser number?

Answer 1

The lesser number is y=4

Explanation:

Given : The sum of two numbers is 14. the larger number minus three times the lesser number -2.

To find : What is the lesser number?

Solution :

Let the two numbers be x and y,

The sum of two numbers is 14

i.e.
`x+y=14` ....(1)

Let x be the larger number and y be the smaller number.

So, the larger number minus three times the lesser number -2

i.e.
`x-3y=-2` ...(2)

Solving equation (1) and (2)

Substitute x from (1) into (2)

`x-3y=-2`

`(14-y)-3y=-2`

`-y-3y=-2-14`

`-4y=-16`

`y=4`

Put in equation (1)

`x+y=14`

`x+4=14`

`x=10`

Therefore, The lesser number is y=4 and larger number is x=10.

Answer 2

Let's take the 2 numbers are a and b.
a + b =14

if a > b
a - 3b = -2

Subtract both numbers
4b = 16
b = 4

lesser number is 4.