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Explain the procedure to solve word problems in Algebra with an example.
Steps involved in solving a word problem:
- Write what is given and what is required.
- Denote the unknowns by the variables as x, y, etc.
- Change the problem into a problem of mathematical statements.
- Form the linear equation in one variable using the conditions given in the problems.
- Solve the equation for the unknown.
Example :
Form a linear equation from the given statement: ‘When 5 is added to twice a number, it gives 11.’
Let the number be x. Twice the number is $2 x$, and it is added to 5, $2 x +5$.
Which is equal to 11.
$2(x)+5 = 11$
Therefore,
$2x + 5 = 11$ is the required equation.
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