Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than three times the smaller number, . Kim's description of the two numbers was: Five times the smaller number decreased by 7 is the larger number. Which equation represents the situation?

Sam's description = , Kim's description =  

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

Solution:

Let smaller number =

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

                         =

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times  decreased by 7

                         =

By equating  both equation:-

Smaller number = = 5

Larger number =

Therefore, equations represents the situation are and