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Tuesday, January 22, 2013

Word Problem - Number Problem

Category: Algebra

"Published in Newark, California, USA"

Find a 2-digit number whose ten's digit is 3 more than the unit's digit. The sum of the 2 digits is 7.

Solution:

Well, the given word problem is about a number problem where you will find the value of ten's and one's digits. Let's analyze the word problem as follows

Let        x = value of one's digit
       x + 3 = value of ten's digit

From the word statement, "the sum of the 2 digits is 7", the working equation for the given problem is

                                        x + x + 3 = 7

                                            2x + 3 = 7

                                                  2x = 7 - 3

                                                  2x = 4

                                                    x = 2

One's digit = x = 2
Ten's digit = x + 3 = 2 + 3 = 5

Therefore, the number is 52. The sum of the digits is 5 + 2 = 7 which is correct.