When the mortgage is completely paid off for Mark and Lynne’s house, it will be 4 times as old as it is now. If they have 21 years left on the mortgage, how old is the house right now?

Respuesta :

The house is 7 years old right now.

What are word problems in algebraic equations?

Word problems leading to algebraic equations are real-life problems that can be interpreted and solved with the use of variables and arithmetic operations.

From the information given:

  • Let us assume that the age of the house is (m)

Now, the amount paid on the mortgage is:

m + 21

This is equal to  4 times as old as it is now;

i.e.

m + 21 = 4m

m- 4m = -21

-3m = -21

m = -21/-3

m = 7

Therefore, we can conclude that the house is 7 years old.

Learn more about word problems in the algebraic equations here:

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