Question

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

Answer 1

Answer:

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 = $x$

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.

$\frac{3x}{3}=\frac{78}{3}$

$x=26$

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.