Three digit number fun - Math riddle

Answer:141 

Explanation :  

Define the three-digit number: We represent the three-digit number as ABC, where A is the first digit, B is the second digit, and C is the third digit.

Define the third digit: Let the third digit C be represented by the variable x. This means C = x.

Relationship between the second and third digits: The puzzle states that the second digit is four times as big as the third digit. Therefore, we can express this relationship as:

B = 4x

Relationship between the first and second digits: The puzzle also mentions that the first digit is three less than the second digit. This relationship can be expressed as:

A = B - 3

Now, let's use these equations to find the three-digit number:

Substitute B from Equation 3 into Equation 4: We substitute the expression for B from Equation 3 into Equation 4:

A = (4x) - 3

Simplify the equation: We can simplify this expression:

A = 4x - 3

Now, we need to find values for A and x that satisfy this equation while considering the constraints of digit values (0-9).

Test values for x:

If we set x = 1, then A = 4(1) - 3 = 4 - 3 = 1. So, our three-digit number is 141.
This shows that if we choose x to be 1, the equation is satisfied, and we obtain the three-digit number 141, which fulfills all the given conditions of the puzzle. So, mathematically, "141" is a valid solution.