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 _____

Solution:

Let the smaller number be x

Then the other number be 2x or (81 - x)

A/Q,

2x = 81 - x

2x + x = 81

x = 81/3

x = 27

Hence 81 - x = 54

Thus,

(a) If smaller number is x, the other number is 81 - x.

(b) The equation formed is 2x = 81 - x.

(c) The solution of the equation is 27.

(d) The numbers are 27 and 54.

✦ Try This: Sum of two numbers is 36. One is thrice 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 _____, Let the smaller number be x

Then the other number be 3x or (36 - x)

A/Q,

3x = 36 - x

3x + x = 36

x = 36/4

x = 9

Hence 36 - x = 27

Thus,

(a) If smaller number is x, the other number is 36 - x.

(b) The equation formed is 3x = 36 - x.

(c) The solution of the equation is 9.

(d) The numbers are 27 and 9.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 4

NCERT Exemplar Class 7 Maths Chapter 4 Problem 20

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 _____

Summary:

Thus, (a) If smaller number is x, the other number is 81 - x, (b) The equation formed is 2x = 81 - x, (c) The solution of the equation is 27, (d) The numbers are 27 and 54

☛ Related Questions:

• In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's . . . .
• The length of a rectangle is two times its breadth. Its perimeter is 60 cm. (a) If the breadth of re . . . .
• In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then (a . . . .