Table of Contents – The Ratio between a Two Digit Number | Solution | Problem Solved
- The ratio between a two digit number
- and the sum of the digits of that number is 4 : 1
- The digit is in the unit’s place is 3 more
- than the digit in the ten’s place.
- the required number can be calculate as:
Important Points to Solve the Problem
Let the unit digit is z and ten’s digit is y.
So, number becomes “10y + z”.
Ratio between a two-digit number (10y + z) and the sum of the digits (y + z) of that number is 4 : 1.
10y + z : y + z = 4 : 1 ________ (i)
Simplification of equation (i) gives
2y = z ________ (ii)
The second condition of the question says
z – 3 = y ________ (iii)
Solving (ii) and (iii) simultaneously we can easily figure out the required number.
Number = ?
Unit digit = z
Ten’s digit = y
Number = 10y + z
According to the first condition of the question
10y + z : y + z = 4 : 1
10y + z = 4 (y + z)
10y + z = 4y + 4z
10y – 4y = 4z – z
6y = 3z
2y = z ________ (i)
According to the second condition of the question
z – 3 = y putting in equation (i)
2 (z – 3) = z
2z – 6 = z
z = 6 and y = 3
Number = 10y + z = 30 + 6 = 36 answer
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