Latest SSC Aptitude Question SOLUTION: The average of two numbers A and B is 20, that of B and C is 19 and of C and A it is 21. What is the value of A?

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(#M40025954) SSC Numerical Ability question SSC-CGL quant Keep an EYE

The average of two numbers A and B is 20, that of B and C is 19 and of C and A it is 21. What is the value of A?

Asked In SSC Rats (10 years ago)

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Bhavik Solanki  (10 years ago)

A + B
_____ = 20
2


B + C
_____ = 19
2


C + A
_____ = 21
2
Above information is given in the problem.

A + B = 40 (BY taking 2 on the opposite side)------EQUATION NO. 1
B + C = 38 (BY taking 2 on the opposite side)------EQUATION NO. 2
C + A = 42 (BY taking 2 on the opposite side)------EQUATION NO. 3

FOR FINDIND VALUE OF ** A **

A + B = 40 --------EQUATION NO. 1
-
C + B = 38 --------EQUATION NO. 2 (Whether you write B+C or C+B :: ALL SAME)
______________
A - C = 2 [ B - (+B) = B - B = 0 ]

now using this equation with EQUATION NO. 3

A + C = 42 --------EQUATION NO. 3
+
A - C = 2 (Our very own processed equation of equation no.1 - quation no.2 )
______________
2A = 44
A = 44/2 = 22

Now this is going to be very smooth...

A + B = 40 ------EQUATION NO. 1 (putting the value of A ; that is 22)
22 + B = 40 SO B = 18

A + C = 42 ------EQUATION NO. 3 (putting the value of A ; that is 22)
22 + C = 42
C = 42 - 22 = 20

A = 22
B = 18
C = 20

Cheers 3:)

Is this solution Helpfull? Yes (4) | No (1)  

VIKASH KUMAR SHARMA  (10 years ago)

A+B=20
B+C=19
C+A=21

FROM 1ST EQ B=20-A,
THRFOR PUT IT INTO 2ND EQ 20-A+C=19
A=11 ans

Is this solution Helpfull? Yes | No (3)  

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