Solved Word Problems in Algebra

Solved Word Problems in Algebra:

In math, problems can be given word format (verbal) which is called as word problems. In these type of problems the word format of the problem has to be converted into mathematical form and then solve. To convert the word problems to mathematical form requires good verbal knowledge, since it is difficult to understand word problems without good verbal knowledge. Almost all kinds of problems are available in word format.We can understand the word problem only by looking at a hard core example of a word problem in algebra.

Solve algebra word problem 1:

Two consecutive numbers have a sum of 81. What are the numbers?

Solution :

To begin solving this problem, define the variable in algebraic form. You do not know what the first consecutive number is, so you can call it x.

Let x = The First Consecutive Number

Since the numbers are consecutive, meaning one number comes right after the other, the second number must be one more than the first. So, x + 1 equals the second number.

Let x + 1 = The Second Consecutive Number

The problem says that the sum of the two numbers is 81. This can be shown in the equation like the following:

x + (x + 1) = 81

The equation which you just wrote can be solved as follows:

Initial Equation

x + (x + 1) = 81

After combining like terms

2x + 1 = 81

After subtracting 1 from each side

2x = 80

After dividing each side by 2

x = 40

Hope you like the above example of Word Problems in Algebra .Please leave your comments, if you have any doubts.