If A:B=3:4,B:C=5:7, C:D=2:5, Then find A:B:C:D
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- A:B:C:D=21:28:98:245
Step-by-step explanation :
Given,
A:B=3:4
A=3x,B=4x
B:C=5:7
B=5x,C=7x
Now in above two ratios in first B has 4x value and in second B has 5x value. Take LCM of 4x, 5x. You have 20x.
To make the value of B in first ratio to 20x . Multiply first ratio with 5x and in other ratio with 4x.
You have,
A:B=15x:20x
and B:C=20x:28x
On combining these two,
A:B:C=15x:20x:28x
Now,
C:D=2:5
C=2x,D=5x
Now in above two ratios in first C has 28x value and in second C has 2x value. Take LCM of 28x, 2x. You have 28x.
To make the value of C in first ratio to 28x . Multiply first ratio with 3x and in other ratio with 7x.
A:B:C=45x:60x:28x
C:D=14x:35x
On combining these two,
A:B:C:D=630x:840x:392x:980x
If eliminate x.
We have A:B:C:D=21:28:98:245
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