Question

Convert the following statements into equations.
(a) 3 added to a number is 11
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4.

Answer 1

Let number be X

3+ X= 11

X = 8

2+X =15

X = 13

3x-2 = 4

X = 2

Answer 2

Given:

Statements

To find:

Equations for

(a) 3 added to a number is 11

(b) 2 subtracted from a number is equal to 15.

(c) 3 times a number decreased by 2 is 4.

Solution:

The required equations are X+3=11, X-2=15, and 3X-2=4.

Let the number required in the equations be X.

We will use the given statements to convert them into equations.

(a) On adding 3 to a number, we get X+3.

Now, this number is equal to 11.

So, X+3=11

(b) Similarly, 2 is subtracted from the number and that is equal to 15.

X-2=15

(c) We will multiply the number by 3 to obtain its thrice.

So, 3X is reduced by 2 to become 4.

3X-2=4

Therefore, the required equations are X+3=11, X-2=15, and 3X-2=4.