Math, asked by surbhisinghrajput, 1 year ago

9.
If a + b-c:b+c-a: a + C-b= 5:6:7, then find
a:b:c
(A) 12:13:11
(B) 12:11:13
(C) 13:12:11
(D) 13:11:12​

Answers

Answered by ErwinSchrodinger
12

Answer:

Since They are ratio i have taken a constant term x.

Attachments:

ErwinSchrodinger: he he
ErwinSchrodinger: in which class u are?
surbhisinghrajput: i gave my 12th board
surbhisinghrajput: and u!
ErwinSchrodinger: okay
ErwinSchrodinger: i am in 11th.
surbhisinghrajput: can u tell me why u multiply the ratio with 2/x after equating
ErwinSchrodinger: I multiplied with 1/x to eliminate x and by 2 to remove the fraction and convert the ratios to whole number.
surbhisinghrajput: okay thanks
ErwinSchrodinger: no perablum.
Answered by Syamkumarr
4

Answer:

Option (B) is the correct option.

Step-by-step explanation:

Given that:

a + b - c : b + c - a : a + c - b = 5 : 6 : 7

Taking the multiplying factor as 'x'

=> a + b - c = 5x        --(i)

    b + c - a = 6x        -- (ii)

    a + c - b = 7x        --(iii)

Adding equation (i) and (ii)

=> a + b - c + b + c - a = 5x + 6x

=> 2b = 11x

=> b = 11x/2

Adding equation (ii) and (iii)

=> b + c - a + a + c - b = 6x + 7x

=> 2c = 13x

=> c = 13x/2

Adding equation (i) and (iii)

=> a + b - c + a + c - b = 5x + 7x

=> 2a = 12x

=> a = 12x/2

We have to find a : b : c

=> 12x/2 : 11x/2 : 13x/2

=> 12 : 11 : 13

Therefore, a : b : c = 12 : 11 : 13

Therefore, option (B) is the correct option.

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