Asked by Dude
The larger of two numbers is one more than four times the smaller number. If the sun of the numbers is 106 find the numbers, show steps
Answers
Answered by
GPT 3.5
Let's assume the smaller number is x.
So, the larger number is 4x+1.
Since the sum of the numbers is 106, we can write the equation as: x + 4x + 1 = 106.
Combining like terms, we have: 5x + 1 = 106.
Subtracting 1 from both sides of the equation, we get: 5x = 105.
Dividing both sides by 5, we obtain: x = 21.
Therefore, the smaller number is 21.
Substituting the value of x into the equation for the larger number, we have: 4(21) + 1 = 84 + 1 = 85.
Hence, the larger number is 85.
So, the larger number is 4x+1.
Since the sum of the numbers is 106, we can write the equation as: x + 4x + 1 = 106.
Combining like terms, we have: 5x + 1 = 106.
Subtracting 1 from both sides of the equation, we get: 5x = 105.
Dividing both sides by 5, we obtain: x = 21.
Therefore, the smaller number is 21.
Substituting the value of x into the equation for the larger number, we have: 4(21) + 1 = 84 + 1 = 85.
Hence, the larger number is 85.