Mr. Integer Is 25 Year Older Than His Student Ratio. Nineteen Years From Now, Mr.Integers Age Will Be 4 Times Ratios Age A Year Ago. What Are Their P

Mr. Integer is 25 year older than his student Ratio. Nineteen years from now, Mr.Integers age will be 4 times Ratios age a year ago. What are their present ages?

 

Answer:

x = 41 yrs. old (Mr. Integers age)

y = 16 yrs. old (Ratios age)

Step-by-step explanation:

Mr. Integer is 25 year older than his student Ratio. Nineteen years from now, Mr.Integers age will be 4 times Ratios age a year ago. What are their present ages?

create a table having the present, future and past ages of Mr. Integer and his student ratio

                                    PAST(1yr. ago)          PRESENT           FUTURE (19 yrs.)

Mr. Integer                            x - 1                  x =  25 + y           x + 19 = 4(y - 1)

His student ratio                   y - 1                        y                           y + 19

x = 25 + y                  (eq 1)

x + 19 = 4(y - 1)           (eq 2)

substitute eq 1 to eq 2

25 + y + 19 = 4y - 4

combine like terms and solve for y

25 + 4 + 19 = 4y - y

3y = 48

y = 16 yrs. old (Ratios age)

x = 25 + 16

x = 41 yrs. old (Mr. Integers age)