Math, asked by Amreenfatima43, 1 year ago

A+B=120,B+C=50,A+C=110,B=?

Answers

Answered by Nikki57
20
Hey!

_______________

A + B = 120
B + C = 50
A + C = 110
B = ?

A + B + B + C = 120 + 50
A + 2B + C = 170
A + C + 2B = 170
110 + 2B = 170
2B = 170 - 110
2B = 60
B = 60/2
B = 30

Thus, Value of B = 30


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Hope it helps...!!!
Answered by rohitkumargupta
23
HELLO DEAR,


given that:-

A + B = 120----------( 1 )

B + C = 50-----------( 2 )

A + C = 110-----------( 3 )


from---( 2 ) & -----( 3 )

B + C = 50
A + C = 110
(-)__(-)___(-)
------------------
B - A = -60 ---------( 4 )



from-------( 1 ) & ------( 4)


B - A = -60
B + A = 120
-----------------
2B = 60

⇒B = 60/2

⇒B = 30 [ put in ----( 1 ) ]


A + 30 = 120

⇒A = 120 - 30

⇒A = 90 [ put in ----( 3 ) ]

we get,

A + C = 110

⇒C = 110 - 90

⇒C = 20

now,

A = 90 , B = 30 , C = 20



VERIFICATION:-


A + B = 120

⇒90 + 30 = 120

⇒120 = 120


similarly,

B + C = 50

⇒30 + 20 = 50

⇒50 = 50

And,

A + C = 110

⇒90 + 20 = 110

⇒110 = 110



I HOPE ITS HELP YOU DEAR,
THANKS

TheAishtonsageAlvie: very nice sir ji ^^
rohitkumargupta: thank you!
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