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Let's represent the unknown number with a variable. Let's use xx to represent the unknown number.

The given statement "Six less than a number equals two" can be translated into the algebraic equation:

x−6=2x−6=2

To find the value of xx, we need to solve this equation:

x−6=2x−6=2

Adding 6 to both sides to isolate xx:

x=2+6x=2+6

x=8x=8

So, the number is x=8x=8.

Let's break down the steps:

1. Think of a number xx.
2. Multiply it by 3: 3x3x.
3. Add 5 to the product: 3x+53x+5.
4. Subtract yy from the result: 3x+5−y3x+5−y.

So, the resulting number after multiplying xx by 3, adding 5, and then subtracting yy is 3x+5−y3x+5−y.

An equilateral triangle has all three sides of equal length.

Given that the side of the equilateral triangle is xx, the perimeter (the sum of the lengths of all sides) can be found by adding the length of one side to itself three times (since all sides are equal):

Perimeter=3×Length of one sidePerimeter=3×Length of one side

Perimeter=3×xPerimeter=3×x

So, the perimeter of the equilateral triangle is 3x3x.

A regular hexagon has six sides of equal length.

Given that the side of the regular hexagon is ss cm, the perimeter (the sum of the lengths of all sides) can be found by adding the length of one side to itself six times (since all sides are equal):

Perimeter=6×Length of one sidePerimeter=6×Length of one side

Perimeter=6×sPerimeter=6×s

So, the perimeter of the regular hexagon is 6s6s cm.

To find the distance between Delhi and Amritsar, we need to determine the distance A travels from 6:00 AM to 12:00 noon, and then add the remaining distance (50 km) to get the total distance.

From 6:00 AM to 12:00 noon, A travels for 6 hours.

Distance traveled in 6 hours = Speed × Time

Given that the uniform speed of the car is xx km/h, and the time traveled is 6 hours, the distance traveled is 6x6x km.

Now, let's calculate the total distance:

Total distance = Distance traveled from 6:00 AM to 12:00 noon + Remaining distance

Total distance = 6x+506x+50 km

So, the distance between Delhi and Amritsar is 6x+506x+50 km.