Problems on Numbers
1. A number is doubled and 5 is added. If the resultant is tripled, it becomes 33. What's the number?
Solution:
Let the number be x.
3(2x+5) = 33
6x+15 = 33
6x=18
x=3.
The number is 3.
2. When 18 is subtracted from a number, it reduces to its three-fifth. What's the sum of the digits of that number?
Solution:
Let the number be x.
x-18=3/5(x)
x-3/5(x) = 18
5x-3x = 90
2x = 90
x = 45.
The sum of the digits of the number is 4+5 = 9.
Problem to solve
Three-fifth of a number is 25 more than the half of the number. What's the number?
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