# Fill in the blanks to make the statements true.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 ________.

Given, the sum of two numbers is 60 and difference is 30.

(a) If the smaller number is x, then the other number is (60 – x), since the sum of both number is 60.

(b) Given, one number = x [from (a)]

Then, other number = (60 – x)

Difference = (60 – x) – x = 60 – 2x

(c) We are given that difference between two numbers is 30.

So, the equation formed is 60 – 2x = 30

–2x = 30 – 60

–2x = –30

2x = 30

(d) Let us solve the equation for x,

2x = 30

On dividing the above equation by 2, we get 4x = 60 x = 15

(e) The numbers are x and (60 – x)

Now, put the value of x, we get

First number = 15

Second number = 60 – 15 = 45

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