Question

Find three consecutive even numbers whose sum is 96. 6. The length of a rectangle exceeds twice its width by 3.Find the length and width of the rectangle if its perimeter is 246m.

Answer 1

Step-by-step explanation:

★ Question Ist :

Let,

The consecutive even numbers :

• x
• x + 2
• x + 4

According to the question:

⇒ x + (x + 2) + (x + 4) = 96

⇒ 3x + 6 = 96

⇒ 3x = 96 - 6

⇒ 3x = 90

⇒ x = 90 / 3

⇒ x = 30

★ x + 2 :

⇒ 30 + 2

⇒ 32

★ x + 4 :

⇒ 30 + 4

⇒ 34

Therefore,

The consecutive even numbers are 30, 32, 34

____________________________

Question II nd :

Let,

Width = x

Length = 2x + 3

Perimeter = 246 m

⇒ 2 (length + width ) = perimeter of rectangle

⇒ 2 ( 2x + 3 + x) = 246

⇒ 2 (3x + 3) = 246

⇒ 6x + 6 = 246

⇒ 6x = 246 - 6

⇒ 6x = 240

⇒ x = 240 / 6

⇒ x = 40

★ Length = 2x + 3 :

⇒ 2 (40) + 3

⇒ 2 × 40 + 3

⇒ 80 + 3

⇒ 83

Therefore,

The length is 83 m

The width is 40 m