For dividing 12 into two whole numbers, the sum of the terms of the ratio must be a factor of 12. so, they cannot be in the ratio 3 :2.
Greater number = 420 x (4/7) = 240
Ratio = 1/2 : 1/3 : 1/4 = 6 : 4 : 3
? share of third friend = Rs. (624 x 3/13)
= Rs. 144
Let the number of boys and girls be x and y respectively. Then
From question, (x - y ) = 12% of (x + y)
? x/y = 3/25 (x + y )
? 25x - 25y = 3x + 3y
? 22x = 28y
? x / y = 28 / 22 = 14 / 11
Let the side of the square be 'a' and let the radius of the circle be 'r'
Then, a2 = ?r2
? a2 / r2 = ?
? a / r = ??
? a : r = ?? : 1
? 18 x 18 = y2
? y = ?144 = 12
For dividing 64 into two whole number, the sum of the terms of the ratio must be factor of 64, so they cannot be in the ratio 3 : 4.
Less length, less weigth
From question, 13 : 6 : : 23.4 : W
? 13 x W = 6 x 23.4
? W = (6 x 23.4) /13 = 10.8 kg
Let 0.8 : 0.2 : : 0.2 : N
Then 0.8 x N = 0.2 x 0.2
? N = ( 0.2 x 0.2) / 0.8 = 0.04 / 0.08 = 4/80 = 0.05
Mean proportional = ?0.32 x 0.02
= ?0.0064 = 0.08
Let 0.2 : 0.12 : : 0.3 : N
? 0.2 x N = 0.12 x 0.3
? N = (0.12 x 0.3) / 0.2 = 0.18
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