Math Word Problems Demystified - A Self Teaching Guide

IMPLEMENTATION: Solve the equation:

xþxþ 1 þxþ 3 ¼ 10

3 xþ 4 ¼ 10

3 xþ 4 
 4 ¼ 10 
 4

3 x¼ 6

31 x

31

¼

6

3

x¼ 2

The hundred’s digit is 2. The ten’s digit isxþ1or2þ 1 ¼3. The one’s
digit isxþ3or2þ 3 ¼5. The number is 235.

EVALUATION: The sum of 2þ 3 þ 5 ¼10.

Try These

1. The sum of the digits of a two-digit number is 10. If the ten’s digit is 8
   more than the one’s digit, find the number.


2. The sum of the digits of a two-digit number is 8. If the ten’s digit is
   three times the one’s digit, find the number.


3. The sum of the digits of a two-digit number of a marathon runner is 9.
   If the digits of the number are reversed, the new number is 27 more
   than the original number. Find the number.


4. The one’s digit of a two-digit number is one more than the ten’s digit.
   If the digits of the number are reversed, the new number is 3 less than
   twice the original number. Find the number.


5. The sum of digits of a number on a football player’s uniform is 11.
   If the digits are reversed, the new number is seven more than twice
   the original number. Find the number.

LESSON 10 Solving Digit Problems 101