if a: b=2:3,b:c=4:5,c:d= 6:7, find a:b: c: d.plz answer this question fast
Answers
Answer : Given :. A:B is 2:3
B:C is 4:5
C:D is 6:7
To proof : A:B:C:D
Proof : A:B = 2:3
Let a =2x
b = 3x
B: C = 4:5
Let b = 4x
c = 5x
In in above two ratios,in first B has 3x value and in second B has 4x value. take LCM of 4x and 3X it is 12x.
Tomultiply the value of B in first ratio to 12 xMultiply first ratio with 4x and in other ratio with 3x .
You have ,
A:B = 8x : 12x and B:C = 12x : 15x
On combining these two,
A:B:C = 8x : 12x : 15x Now, C:D is 6:8 C = 6x and D = 8x
now in above two ratios ,in first she has 15 x value and in second c has 6 X value. take LCM of 6x and 15 x.It is 30x
To make the value of C in first ratio to 30x .
Multiply first ratio with 2x and second ratio with 5x .
therefore, A:B:C = 16x : 24x : 30x C:D. = 30x : 40x
On combining these two ,A:B:C:D = 16x : 24x : 30x : 40x If eliminate X ,
we have , A:B:C:D = 16 : 24 : 30 : 40 ...........(1)
you can also divide equation (1) by 2 because 2 is common in this equation .
Hope it is helpful for you .
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