Seorsia is 6 years older than Mae. In two years, Seorsia will be twenty more than one-third of Mae's age. How old is Seorsia now?

Question

Hillo everybody, I need immidiate help. Thank you much. My English bad, sorry

Answer 1

Let s = Seorsia's age

Let m = Mae's age

 

Seorsia is 6 years older than Mae:

s = m + 6         {equation 1}

 

In two years, Seorsia will be twenty more than one-third of Mae's age:

s+2 = (1/3)(m+2) + 20  {equation 2}

 

Since we know s = m+6 we can substitute that into 2nd equation

 

m+6+2 = (1/3)(m+2) + 20

m + 8 = (1/3)(m+2) + 20

subtract 8 from both sides

m = (1/3)(m+2) + 12

to clear the fraction multiply through by 3

3m = m+2 + 36

subtract m from both sides

2m = 38

divide both sides by 2

m = 19

 

s = m+6 = 25

 

Mae is 19

Seorsia is 25