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

First number =26

Second number =49

Step-by-step 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 =

Let second number be =

The sum equation can be given as:

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

This can be given as:

Substituting the value of in terms of in the sum equation.

Combining like terms.

Adding 3 both sides.

Dividing both ides by 3.

Substitution in the second equation to find .

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

a negative exponent is translated as follows:

so, we have