When 100 is added to a number,the result is 50 more than 3 times the number find the number

x+100 = 3x+50

25

a new colony was built and the builder gave contract to a sign maker to number the buildings from number 1 to 500.How many zeroes will the need?

91

To find the number, we can set up an equation based on the given information. Let's call the number "x".

According to the problem, when 100 is added to the number, the result is 50 more than 3 times the number. Mathematically, this can be represented as:

x + 100 = 3x + 50

To solve for x, we can start by simplifying the equation:

x + 100 = 3x + 50
Subtracting x from both sides:
100 = 2x + 50

Next, subtract 50 from both sides:
100 - 50 = 2x
50 = 2x

Finally, divide both sides by 2:
50/2 = x
25 = x

Therefore, the number is 25.