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The sum of two natural… (Class 10 Maths Basic 2024, Q22a)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/2/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2024: question 22(a)

Set in the CBSE Class 10 board exam of 2024, paper 430/2/1, section B, question 22(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(a) · 2 marks · Very short answerPair of Linear Equations in Two Variables

The sum of two natural numbers is 70 and their difference is 10. Find the natural numbers.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/2/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Use two variables, one for each number.

Hint 2

Write one equation for the sum and one for the difference.

Hint 3

Add the two equations to eliminate one variable.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Let the larger number be and the smaller be . Their sum is 70: ...(1)

    ½ mark

  2. Their difference is 10: ...(2)

    ½ mark

  3. Adding (1) and (2):

    ½ mark

  4. Substituting in (1): . The numbers are 40 and 30.

    ½ mark

Answer: The numbers are 40 and 30

Where the marks are

  • Forms (½ mark)
  • Forms (½ mark)
  • Gets (½ mark)
  • Gets (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/2/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.