# 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:**

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