Statement Sums involving Linear Equations


 
 
Concept Explanation
 

Statement Sums involving Linear Equations

Statement Sums involving Linear Equation: In these sums a certain situation is given we have to analyse the statement and then suppose a certain quantity. and will then try to identify a relation with the quantity we have supposed.

The procedure to translate a word problem in the form of an equation is known as the formulation of the problem. Thus, the process of solving a word problem consists of two parts, namely, formulation and solution.

The following steps should be followed to solve a word problem:

Step I  Read the problem carefully and note what is given and what is required.

Step II Denote the unknown quantity by some letters, say x, y, z, etc.

Step III Translate the statements of the problem into mathematical statements.

Step IV Using the condition (s) given in the problem, form the equation

Step V Solve the equation for the unknown.

Step VI Check whether the solution satisfies the equation.

ILLUSTRATION: One seventh of number is less than the original number by 24. Find the number.

Solution: Let the number be x

one seventh of x = frac{x}{7}

Number - one seventh of number = 24

x-frac{x}{7}=24

frac{7x-x}{7}=24

frac{6x}{7}=24

x= frac{24 times 7}{6}=4 times 7 = 28

 

 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Two numbers are in the ratio 5:6. If 8 is subtracted from each, the ratio becomes 4:5. Find the numbers.

Right Option : D
View Explanation
Explanation
Question : 2

frac{3}{8} of number is less than the original number by 25. Find the number.

Right Option : D
View Explanation
Explanation
Question : 3

A rectangle has a perimeter of 60 cm. If length and breadth of rectangle is (k + 4) cm and (3k - 2) cm respectively then value of k is ?

Right Option : A
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
 
Related Videos


Students / Parents Reviews [10]