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Subjects
Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.MediumLevel 57

The sum of two numbers is (29) and their difference is (7). What is the larger number?

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Answer and explanation

Correct answer: (18)

Let the larger number be (x) and the smaller be (y). Adding (x+y=29) and (x-y=7) gives (2x=36), so (x=18).

Tags

linear-equationsword-problemnumbersmediumclass-10

Frequently asked questions

What is the correct answer to this question?

(18)

Why is this the correct answer?

Let the larger number be (x) and the smaller be (y). Adding (x+y=29) and (x-y=7) gives (2x=36), so (x=18).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..

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10 more MCQs
  1. 1In the equation \(2x-y=4\), what is the value of \(y\) when \(x=3\)?
  2. 2What is the point of intersection of the lines \(4x+3y=34\) and \(4x-y=10\)?
  3. 3If the lines \(x+y=9\) and \(kx+3y=23\) both pass through the point \(\left(4,5\right)\), what is the value of \(k\)?
  4. 4While solving a pair of linear equations in two variables by the elimination method, in which situation can one variable be eliminated directly?
  5. 5What is the \(x\)-coordinate of the point of intersection of the lines \(4x+5y=31\) and \(3x-2y=1\)?
  6. 6If the two lines have a unique point of intersection (r,s) that satisfies (3r+s=19) and (r-s=1), what is the value of (r+s)?
  7. 7If the unique point of intersection of two lines is (r,s) and the lines are represented by (4r+s=29) and (r-s=1), what is the value of (r+s)?
  8. 8What is the solution of the equations (x+y=5) and (x-y=1)?
  9. 9In the equations (2x+y=7) and (x=2), what is the value of (y)?
  10. 10If (y=x+1) and (x+y=7), what are the values of (x) and (y)?
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