One number is 3/5 of another and their difference is 12. What is the smaller number?
Question
One number is 3/5 of another and their difference is 12. What is the smaller number?
Solution
Let's denote the larger number as x and the smaller number as y.
From the problem, we know two things:
-
y = 3/5 * x (since one number is 3/5 of another)
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x - y = 12 (since their difference is 12)
We can substitute y from the first equation into the second equation:
x - 3/5 * x = 12
This simplifies to:
2/5 * x = 12
To solve for x, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
x = 12 * 5/2 = 30
Substitute x = 30 into the first equation to solve for y:
y = 3/5 * 30 = 18
So, the smaller number is 18.
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