Fill in the blanks to make the statements true.
Sum of two numbers is 81. One is twice the other.

(a) If smaller number is x, the other number is ________.

(b) The equation formed is ________.

(c) The solution of the equation is ________.

(d) The numbers are and ________.

Question

Fill in the blanks to make the statements true.
The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

(a) If the breadth of rectangle is x cm, the length of the rectangle is .

(b) Perimeter in terms of x is .

(c) The equation formed is .

(d) The solution of the equation is .

Philoid · Accepted Answer

(a) It is given that the length of the rectangle is two times its breadth.

∴ Length = 2x cm.

(b) Perimeter of rectangle = 2(length + Breadth) = 2(2x + x)

(c) As we are given that perimeter of rectangle is 60 cm.

So, the equation formed is 2(2x + x) = 60

⇒ 2(3x) = 60

⇒ 6x = 60

(d) On dividing the equation by 6, we get

⇒ x = 10

Hence, the solution of the equation is 10.