Question

6. Change the following statements into an equation
(a) 19 added to twice a number gives 13.
(b) 2 subtracted from one-third of a number gives 2​

Answer 1

Answer:

1. Let x be the number

Therefore, two times of the number is 2x

On adding of 9 we get 2x+9

2x+9=13

⇒ 2x=13−9=4

⇒ x=

2

4

⇒ x=2

Therefore, the required number is 2.

2.

Let x be the number

Therefore, one=third of the number is

3

x

On subtraction of 1, we get

3

x

−1

⇒

3

x

−1=1

⇒

3

x

=2

⇒ x=2×3

⇒ x=6

Therefore, the required numbers is 6

Answer 2

Step-by-step explanation:

Let the number be x.

According to the question,

19−2x=11

2x=19−11

2x=8

x=4

Hence, this is the answer.