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

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