a) make your own worksheet of 3 word problems involving linear equations. Solve them in detail.
use the example from your daily life
Answers
Answer:
Q1) The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.
Q2) The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
Q3) The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.
Step-by-step explanation:
Ans1) Then the other number = x + 9
Let the number be x.
Sum of two numbers = 25
According to question, x + x + 9 = 25
⇒ 2x + 9 = 25
⇒ 2x = 25 - 9 (transposing 9 to the R.H.S changes to -9)
⇒ 2x = 16
⇒ 2x/2 = 16/2 (divide by 2 on both the sides)
⇒ x = 8
Therefore, x + 9 = 8 + 9 = 17
Ans2) Let the common ratio be x.
Let the common ratio be x.
Their difference = 48
According to the question,
7x - 3x = 48
⇒ 4x = 48
⇒ x = 48/4
⇒ x = 12
Therefore, 7x = 7 × 12 = 84
3x = 3 × 12 = 36
Ans3) Let the breadth of the rectangle be x,
Then the length of the rectangle = 2x
Perimeter of the rectangle = 72
Therefore, according to the question
2(x + 2x) = 72
⇒ 2 × 3x = 72
⇒ 6x = 72
⇒ x = 72/6
⇒ x = 12
We know, length of the rectangle = 2x
= 2 × 12 = 24