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Q.

Hema’s age is four times the age of Mary. Write a linear equation in two variables to represent the above information.


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a

x+4y=0  

b

x4y=0  

c

x+4y=0  

d

x4y=0  

answer is D.

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Detailed Solution

Let Hema be x   years old and Mary be y   years old.
We set their ages to two variables because we needed to form a linear equation with two variables, (i.e.) ax+by+c=0  .
The question now states that Hema is four times Mary's age.
However, because we have set their ages to two variables, we can rewrite this sentence by increasing Hema's age by x   years and decreasing Mary's age by y   years. Furthermore, it is stated that Hema's age is "four times" Mary's age, which means that their ages can be equated as follows:
x=4y x4y=0  
Hence, the correct option is 4.
 
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Hema’s age is four times the age of Mary. Write a linear equation in two variables to represent the above information.