Question

LINEAR EQUATIONS
Solve the following word problems.
1. Six added to thrice of a number gives 33. Find the number.

2. If 19 is subtracted from a number, we get 11. Find the numbers.

3. The sum of three consecutive numbers is 69. Find the numbers.

4. The sum of two consecutive multiplies of 5 is 65. Find the number.

5. 7 times a number increased by 5 equals to 19. Find the number.

6. The cost of 3 pens and a notebook is 72. If the cost of the notebook is 18, find the cost of one pen. a

7. Ramesh is 56 year old. His age is 6 years more than twice the age of his son. Find the age of his son.

8. The age of Mohit is one-third the age of his mother. If the sum of their ages is 48 years, find the age of each.

9. The length of a rectangle is twice its width. If its perimeter is 54cm, find its length​

Answer 1

Answer:

Step-by-step explanation:

1. 6 + 3x = 33

= 3x = 33 - 6

= 3x = 27

= x = 27/3 = 9

2. x - 19 = 11

= x = 11 + 19

= x = 30

3. x + ( x + 1 ) + ( x + 2 ) = 69

= x + x + x + 3 = 69

= 3x = 69 - 3 = 66

= x = 66/3 = 22

So 22 +  (22 +1 ) + ( 22 + 2 ) = 69

= 22 + 23 + 24 = 69

4.  5 ( x + 1)  + 5 ( x + 2 ) = 65

= 5x + 5 + 5x + 10 = 65

= 10x + 15 = 65

= 10x = 65 - 15 = 50

= x = 50/10 = 5

Two numbers= 5 (5 + 1 )

                      = 25 + 5

                     = 30

                     = 5 (5 + 2 )

                     = 25 + 10

                     = 35

5.  7x + 5 = 19

    7x = 19 - 5 = 14

    x = 14 /7 = 2

6.  3 pens + 1 notebook = Rs. 72

    3 pens + Rs. 18 = Rs. 72

    3 pens = ( 72 - 18 ) Rs.= Rs. 54

    1 pen = Rs. 54 / 3 = Rs. 18