# The sum of two numbers is 60 and their difference is 30

(a) If smaller number is x, the other number is _____. (use sum)

(b) The difference of numbers in term of x is _____

(c) The equation formed is _____

(d) The solution of the equation is _____

(e) The numbers are _____ and _____

**Solution:**

Let the smaller number be x

Then the other number be (60 - x)

A/Q,

(60 - x) - x = 30

60 - 2x = 30

60 - 30 = 2x

30 = 2x

x = 30/2

x = 15

Hence 60 - x = 45

Thus,

(a) If smaller number is x, the other number is 60 - x.

(b) The difference of numbers in term of x is 60 - 2x.

(c) The equation formed is 2x = 30.

(d) The solution of the equation is 15.

(e) The numbers are 15 and 45.

**✦ Try This:** The sum of two numbers is 50 and their difference is 10. (a) If smaller number is x, the other number is _____. (use sum), (b) The difference of numbers in term of x is _____, (c) The equation formed is _____, (d) The solution of the equation is _____, (e) The numbers are _____ and _____.

Let the smaller number be x

Then the other number be (50 - x)

A/Q,

(50 - x) - x = 10

50 - 2x = 10

50 - 10 = 2x

40 = 2x

x = 40/2

x = 20

Hence 50 - x = 30

Thus,

(a) If smaller number is x, the other number is 50 - x.

(b) The difference of numbers in terms of x is 50 - 2x.

(c) The equation formed is 2x = 40.

(d) The solution of the equation is 20.

(e) The numbers are 20 and 30.

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

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 19**

## The sum of two numbers is 60 and their difference is 30. (a) If smaller number is x, the other number is _____. (use sum), (b) The difference of numbers in term of x is _____, (c) The equation formed is _____, (d) The solution of the equation is _____, (e) The numbers are _____ and _____

**Summary:**

Thus, (a) If smaller number is x, the other number is 60 - x, (b) The difference of numbers in term of x is 60 - 2x, (c) The equation formed is 2x = 30, (d) The solution of the equation is 15, (e) The numbers are 15 and 45

**☛ Related Questions:**

- Sum of two numbers is 81. One is twice the other (a) If smaller number is x, the other number is ___ . . . .
- 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 . . . .

visual curriculum