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Q.



Simplify and solve the linear equation 0.25(4f−3)=0.05(10f−9)  .

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a

f= 3 5  

b

f= 2 3  

c

f= 1 7  

d

f= 5 7    

answer is A.

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Detailed Solution


Given equation is 0.25 4f−3 =0.05 10f−9  .
Convert the decimal number into a fraction number.
⇒ 25 100 4f−3 = 05 100 10f−9 ⇒25 4f−3 =5 10f−9 ⇒100f−75=50f−45  
Transposing 50f to the left-hand side and -75 to the right hand side.
⇒100f−50f=−45+75 ⇒50f=30 ⇒f= 30 50 ⇒f= 3 5  
Hence, the value of variable f is 3 5  .
Correct option is 1.
 
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