Question

The sum of two numbers is 75. The second number is

less than twice the first. Find the numbers.

Answer 1

First number =26

Second number =49

Explanation:

Question:

The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.

Given:

Sum of two numbers = 75

The second number is 3 less than twice the first.

To find the numbers.

Solution:

Let the first number be =
`x`

Let second number be =
`y`

The sum equation can be given as:

`x+y=75`

It is given that the second number is 3 less than twice the first.

This can be given as:

`y=2x-3`

Substituting the value of
`y` in terms of
`x` in the sum equation.

`x+(2x-3)=75`

Combining like terms.

`3x-3=75`

Adding 3 both sides.

`3x-3+3=75+3`

`3x=78`

Dividing both ides by 3.

`(3x)/(3)=(78)/(3)`

`x=26`

Substitution
`x=26` in the second equation to find
`y`.

`y=2(26)-3\\y=52-3\\\therefore y=49`

Thus, first number =26 and second number =49.