Question

18 years from now, Jacob will be 14 more than 3 times as old as Marriot.
Today, Jacob is j years old and Marriot is m years old.
Express j in terms of m.​

Answer 1

j  =  $3m$ + 50

Step-by-step explanation:

We are given that 18 years from now, Jacob will be 14 more than 3 times as old as Marriott.

Today, Jacob is j years old and Marriott is m years old.

Let the present age of Jacob be j years

and present age of Marriott be m years.

We have to express j in terms of m.

So, according to question;

Age of Jacob after 18 years = (j + 18) years

Age of Marriott after 18 years = (m + 18) years

Given condition : 18 years from now, Jacob will be 14 more than 3 times as old as Marriott, that means;

                 j + 18 = 14 + 3(m + 18)

                 j + 18 = 14 + $3m$ + 54

                 j + 18 = $3m$ + 68

                       j  =  $3m$ + 68 - 18

                      j  =  $3m$ + 50

Hence, the age of Jacob in terms of m is   j  =  $3m$ + 50.