Write any two linear equations, and convert it into word problem.​

Write any two linear equations, and convert it into word problem.​

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  1. Question: Write any two linear equations, and convert it into word problem.​

    Answer:

    1)The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

    Solution:

    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

    Therefore, the two numbers are 8 and 17.

    2.The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

    Solution:

    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

    Therefore, the two numbers are 84 and 36.

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