8th Grade Math Problems

Question

Question : The sum of two numbers is 13. If two times one of these numbers exceeds three times the other number by 1, find the numbers.

Answer 1

1....x+y=13   or y=13-x

2...2x=3y+1

2x=3*(13-x) +1

2x=-3x +39+1

5x=40

x=8

y=13-x=5

##### chek...2x=16.....3y+1=15+1=16

Answer 2

Solution:

 

Let the numbers be x and y

 

The sum of numbers = 13

 

=> x + y = 13                 ...............(1)

and

2x - 3y = 1                    .................(2)

 

Step 2:

(1) => y = 13 - x

 

Step 3:

 

Put y = 13 - x in equation (2)

 

=> 2x - 3(13 - x) = 1

 

=> 2x - 39 + 3x = 1

 

=> 5x = 40

 

=> x = 8

 

Solving Math problems is not easy! A lot of students have difficulty with 8th Grade Math. But, employing some of the best  techniques will help you to solve Math problems easily .