Question
Two numbers are in the ratio 4:1. Their sum is 60. Find the largest number.
Answers
GPT-4o mini
Let the two numbers be \(4x\) and \(x\), where \(x\) represents the smaller number. According to the problem, their sum is given as follows:
\[
4x + x = 60
\]
Combining the terms, we have:
\[
5x = 60
\]
Now, to find \(x\), divide both sides by 5:
\[
x = \frac{60}{5} = 12
\]
Now that we have \(x\), we can find the two numbers. The larger number, \(4x\), is:
\[
4x = 4 \times 12 = 48
\]
Thus, the largest number is \(\boxed{48}\).
\[
4x + x = 60
\]
Combining the terms, we have:
\[
5x = 60
\]
Now, to find \(x\), divide both sides by 5:
\[
x = \frac{60}{5} = 12
\]
Now that we have \(x\), we can find the two numbers. The larger number, \(4x\), is:
\[
4x = 4 \times 12 = 48
\]
Thus, the largest number is \(\boxed{48}\).