Question

1. If the sum of four consecutive natural numbers is 50 , find the smallest number among them.
2. The length of a rectangle is twice of it's breath. The perimeter of rectangle is 120 m , find it's length and breath.
3. Start with X = 3 construct two equations.
4. Write the statement form of the equation " 2 X + 6 = 24 "

Answer All the question if you know. Half Answered Question will be reported.

Answer 1

Answer:

1. If the sum of four consecutive natural numbers is 50 , find the smallest number among them.

=> Let four consecutive natural numbers be x, x + 1, x + 2 and x + 3. Therefore, according to question x + (x + 1) + (x + 2) + (x + 3) = 50

4x + 6 = 50

4x = 50 – 6 = 44

x = 11 (Divide both side by 4)

Thus, the numbers are

x = 11, x + 1 = 12, x+ 2 = 13 and x + 3 = 14.

And the smallest number = 11

2. The length of a rectangle is twice of it's breath. The perimeter of rectangle is 120 m , find it's length and breath.

=> Let the breadth of the rectangle is b cm.

So, the length of the rectangle is 2b cm.

We know that the perimeter of rectangle is

=2(l + b)

Since, perimeter of rectangle is 120 cm.  

Therefore,

6b = 120

b = 20 m

And l = 40 m

So, the area of rectangle is

= 20 × 40 = 800 m2

Hence, the length is 40 cm, breadth is 20 cm and area is 800 m2.

3. Start with X = 3 construct two equations.

=> x-2

Multiply both sides 10-

10×x=10×2

10x=20. ---⅒¹

Add 2 both sides

10x+2=20+2

10x+2=22. ---⅒²

Divide both sides by 2

10x+2 =22

22

10x+2 =11. ---⅒³

2

4. Write the statement form of the equation " 2 X + 6 = 24 "

=> Simplifying

2x + -6 = 24

Reorder the terms:

-6 + 2x = 24

Solving

-6 + 2x = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2x = 24 + 6

Combine like terms: -6 + 6 = 0

0 + 2x = 24 + 6

2x = 24 + 6

Combine like terms: 24 + 6 = 30

2x = 30

Divide each side by '2'.

x = 15

Simplifying

x = 15

Step-by-step explanation: