Q. 14.5( 69 Votes )

Set up equa

Answer :

The parts of this given questions are solved below:


(a) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


Eight times of a is 8a


Therefore,


As per the statement,


We can write the equation as,


8a + 4 = 60


8a = 60 – 4


8a = 56


Now,


Dividing 8 on both the sides, we get



Therefore,


a = 7


(b) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


One fifth of a is


Therefore,


As per the statement,


We can write the equation as,



= 3 + 4


= 7


Now,


Multiplying 5 to both the sides, we get



Therefore,


a = 35


(c) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


Three fourth of a is


Therefore,


As per the statement,


We can write the equation as,



= 21 – 3


= 18


Now,


Multiplying to both the sides, we get



Therefore,


a = 24


(d) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


Twice of a is 2a


Therefore,


As per the statement,


We can write the equation as,


2a – 11 = 15


2a = 15 + 11


2a = 26


Now,


Dividing 2 on both the sides, we get



Therefore,


a = 13


(e) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


Thrice of a is 3a


Therefore,


As per the statement,


We can write the equation as,


50 – 3a = 8


-3a = 8 – 50


-3a = -42


Now,


Dividing -3 on both the sides, we get



Therefore,


a = 14


(f) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


Therefore,


As per the statement,


We can write the equation as,



Now,


Multiplying 5 to both the sides, we get



Therefore,


a + 19 = 40


a = 40 – 19


a = 21


(g) We have to frame the equation on the basis of given statement


And then solve the so framed equation


Thus,


Let the number be a


We know that,


of a is


Therefore,


As per the statement,


We can write the equation as,



= 23 + 7


= 30


Now,


Multiplying to both the sides, we get



Therefore,


a = 12

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