The sum of two numbers is 28 more than their difference. If their difference is 10, and 14 the less number, what is five times the greater?
5(14+10) = ?
33 165
To solve this problem, we can set up a system of equations based on the given information.
Let's denote the greater number as x and the smaller number as y.
From the first sentence, we can form the equation:
x + y = y - x + 28
Simplifying this equation, we can cancel out the y and -x terms on both sides:
2x = 28
Dividing both sides by 2, we find:
x = 14
Now, we know that the difference between the two numbers is 10, and 14 is the smaller number. Therefore, we can determine that:
y = x - 10
= 14 - 10
= 4
So, the smaller number is 4.
Finally, we need to find five times the greater number:
5 * x
= 5 * 14
= 70
Therefore, five times the greater number is 70.