Fill in the blanks to make the statements true. The sum of two number

1.	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 .......
Answer» (a) If smaller number is x, the other number is .(use sum) From the question it is given that smaller number is x, Then, the other number is 60 – x (b) The difference of numbers in term of x is . From the question, smaller number be x, and other number be (60 – x) Then, Difference between the numbers = (60 – x) – x = 60 – x – x = 60 – 2x (c) The equation formed is . As per the condition given the question, differenc of the two numbers is 30. So, 60 – 2x = 30 Transpose, -2x to RHS then it becomes 2x and 30 to LHS it becomes -30, 60 – 30 = 2x 30 = 2x (d) The solution of the equation is . 30 = 2x x = 30/2 x = 15 (e) The numbers are and . x = 15 60 – x = 60 – 15 = 45 The numbers are 15 and 45.

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 .......

Answer»

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

From the question it is given that smaller number is x,

Then, the other number is 60 – x

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

From the question, smaller number be x, and other number be (60 – x)

Then,

Difference between the numbers = (60 – x) – x

= 60 – x – x

= 60 – 2x

(c) The equation formed is .

As per the condition given the question, differenc of the two numbers is 30.

So, 60 – 2x = 30

Transpose, -2x to RHS then it becomes 2x and 30 to LHS it becomes -30,

60 – 30 = 2x

30 = 2x

(d) The solution of the equation is .

30 = 2x

x = 30/2

x = 15

(e) The numbers are and .

x = 15

60 – x = 60 – 15

= 45

The numbers are 15 and 45.