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
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
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.
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
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
Let the required number be N,
From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)
? (54 - N) x (99 - N) = (75 - N) x (71 - N)
? N2 - 153N + 5346 = N2 - 146N + 5325
? 7N = 21
? N = 3
Let the number be N,
From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)
? (6 + N) x (38 + N ) = (18 + N ) x (14 + N )
? N2 + 44N + 228 = N2 + 32N + 252
? 12N = 24
? N = 2
From question, N : 1/27 = 3/7 : 5/9
? 5/9 x N = 1/27 x 3/7
? 5/9 x N = 1/63
? N = (1/63) x (9/5) = 1/35
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