Given,
(x + y - 8)/2 = (x + 2y - 14)/3 = (3x + y - 12)/11
? (x + y - 8)/2 = (x + 2y - 14)/3
? 3x + 3y - 24 = 2x + 4y - 28
? 3x + 3y - 2x - 4y = -28 + 24
x - y = -4 ...(i)
Again, (x + 2y - 14)/3 = (3x + y - 12)/11
? 11x + 22y - 154 = 9x + 3y - 36
? 2x + 19y = 118 ..(ii)
On multiplying Eq. (i) by 2 and subtracting from Eq., we get
2x - 2y = -8
2x + 19y = 118
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-21y = -126
? y = 6
On putting the value of y in Eq. (i), we get
x - 6 = -4
? x = 2
? x = 2 and y = 6
Ratio of area = a2/ ?(3/4) a2
= 4/?3 = 4:?3
? log tan 45 = log 1 = 0
Hence, Whole Expression = (something) x zero
Prime number less than 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
? The number of all prime numbers less than 40 = 12.
(1/5 )3a = 0.008 = 8/1000 = 1/125 = (1/5 )3
Apply the Algebra Law and Solve the equation.
? 3a = 3
? a = 1
? ( 0.25 )a = ( 0.25 )1 = 0.25
Let CP of the article be ? N
Then, SP = 110% of x = 1.1N
If SP be double i.e., 2.2N, then
Profit per cent= [(2.2N - N)/ N] x 100% = 120%
Curved surface area = ?rl
= (22/7 x 6 x 28) cm2
= 528 cm2
Number of boy = ( 2140 - 1200 ) = 940
? Boys : Girls = 940 : 1200 = 47 : 60
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