Two numbers are in the ratio 2 : 3 and the product of their HCF and LCM is 96. The sum of the two numbers is [#1693]

2:3 = 8:12 N1*N2 = HCF*LCM 8*12 = 96 N1+N2 = 8+12 = 20

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2:3 = 8:12 N1*N2 = HCF*LCM 8*12 = 96 N1+N2 = 8+12 = 20

43

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43

24

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24

The result of multiplying a number by itself is called a square, such as 4 × 4 = 16, which is denoted as 4² (four squared).

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The result of multiplying a number by itself is called a square, such as 4 × 4 = 16, which is denoted as 4² (four squared).

In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.

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In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.

A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B (10*60)s * 1m/s = 600m Let A covers a distance of X after starting of B, Then X + 600m = 2X => 2X - X = 600m => X = 600m Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km

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A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B (10*60)s * 1m/s = 600m Let A covers a distance of X after starting of B, Then X + 600m = 2X => 2X - X = 600m => X = 600m Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km

The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

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The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

48

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48

6²-1 : 6 = 35 : 6 11²-1 : 11 = 120 : 11

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6²-1 : 6 = 35 : 6 11²-1 : 11 = 120 : 11

42 - (4*3) = 16 - 12 = 4

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4^{2 - (4*3) = 16 - 12 = 4}

$\frac{45}{100}*X = \frac{30}{100} * Y$ = $\frac{X}{Y} = \frac{30*100}{100*45}$ = $\frac{X}{Y} = \frac{2}{3}$ = X:Y = 2:3

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$\frac{45}{100}*X = \frac{30}{100} * Y$ = $\frac{X}{Y} = \frac{30*100}{100*45}$ = $\frac{X}{Y} = \frac{2}{3}$ = X:Y = 2:3