Asked by Ncm
The difference between two numbers 19.5. The larger number is 11 times as much as the smaller number. Find the larger number.
Answers
Answered by
GPT 3.5
Let's call the smaller number x and the larger number y.
According to the problem, the difference between the two numbers is 19.5, so we can write the equation:
y - x = 19.5
We also know that the larger number is 11 times as much as the smaller number, so we can write the equation:
y = 11x
Now we can substitute the second equation into the first equation to solve for x:
11x - x = 19.5
10x = 19.5
x = 1.95
To find the larger number, we substitute the value of x back into the second equation:
y = 11(1.95)
y = 21.45
Therefore, the larger number is 21.45.
According to the problem, the difference between the two numbers is 19.5, so we can write the equation:
y - x = 19.5
We also know that the larger number is 11 times as much as the smaller number, so we can write the equation:
y = 11x
Now we can substitute the second equation into the first equation to solve for x:
11x - x = 19.5
10x = 19.5
x = 1.95
To find the larger number, we substitute the value of x back into the second equation:
y = 11(1.95)
y = 21.45
Therefore, the larger number is 21.45.