Example 1 Xiaoming is 8 years old this year, and Xiao Qiang is 14 years old this year. A few years later, the age of Xiao Ming and Xiao Qiang was 40.

Looking for a "breakthrough" to solve problems from peers

The age difference between Xiao Ming and Xiao Qiang is: 14-8=6 (years old).

Xiaoming's year is (40-6)÷2= 17 (years old).

How many years later? 17-8=9 (year)

Example 2 Wang Jin and Zhang Ming calculate the product of two natural numbers A and B (both natural numbers are greater than 1). Wang Jin misread the single digits of a number, and the calculation result is 9 1, while Zhang Ming misread the ten digits of a number, and the calculation result is 175. What is the product of two numbers?

9 1 = 7× 1 3 = 1× 91,so the common divisor of 175 and 91is1or 7, because b is greater than/kloc-0.

Grasp: The factor A (number B) has not changed, and B is the common divisor of 9 1 and 175.

9 1 ÷ 7 = 13 ... Wang Jin's wrong armor number.

175 ÷ 7 = 25 ... Zhang Ming misread the armor number.

15×7= 105