Let R, G and B represent the number of balls in red, green and blue boxes respectively.
Then, .
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 6R = 108 R = 18.
Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.
15 girls are absent => b = 2(g-15)...... eqn...(1)
45 boys are absent => g - 15 = 5(b-45).....eqn...(2)
=> g = 5(b-45) + 15
=> b = 2((5(b-45)+15)-15)
=> b = 2(5b - 225 + 15 - 15)
=> b = 2(5b-225)
=> b = 10b - 450
=> 9b = 450
=> b = 50
so from equation(2)
g - 15 = 5(b - 45)
=> g - 15 = 5(50-45)
=> g - 15 = 5(5)
=> g = 25 + 15
=> g = 40
Therefore, the number of boys = 50 and girls = 40
In geometry, we can define plane as a flat surface with no thickness.
The surface extends with no ends.
A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.
Hence, A plane is an undefined term because it is described generally, not using a formal definition.
The product of a number and its reciprocal is always equals to 1.
For Example : Let the number be 4.
Now, its reciprocal is 1/4
Hence, required product = 4 x 1/4 = 1.
Now, take the number as -15.
Then its reciprocal is -1/15
Required product = -15 x -1/15 = 1.
Hence, the product of a number and its reciprocal is 1.
Multiplicative inverse is nothing but a reciprocal of a number.
It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.
Multiplicative inverse or reciprocal of 7 is
7 x n = 1
=> n = 1/7.
Hence, Multiplicative inverse or reciprocal of 7 is 1/7.
Complimentary angles are those two angles whose sum is 90 whereas two angles whose sum is 180 are called Supplementary angles.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.
In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.
The letter A has a vertical axis of symmetry.
The letter C has a horizontal axis of symmetry.
The letter O has more than one axis of symmetry, including vertical axis and horizontal axis.
A tangent contains ZERO chords, as it touches the circle at only one point.
Hence, it does not contain any chord.
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