The larger of two numbers is one more than three times the smaller number. if the sum of the numbers is 49, find the numbers.

larger number x = 37 and smaller number y = 12

Step-by-step explanation:

Let the larger number be x and the smaller number be y.

Sum of the numbers is ....(1)

∴

Now, 3 times of the smaller number = 3y

According to question,

Now, by substituting the value of y in (2)

Now,y = 49 - x and

So the larger number x =37 and smaller number y = 12.  

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents