alleryStart learning →The sum of two numbers is 20 and their difference is 6. The larger number is
A14
B12
C13
D10
Answer & Solution
Correct answer: C. 13
1. Let the numbers be x and y: $x+y=20$, $x-y=6$.
2. Add: $2x=26 \Rightarrow x=13$; then $y=7$.
3. The larger number is 13.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables', §3.3 (word problem)_
Keep practising Pair of Linear Equations in Two Variables
Browse all Pair of Linear Equations in Two Variables questions for Karnataka SSLC (Class 10), or explore more Mathematics topics.
Related questions
If a pair of linear equations is inconsistent, the graph of the two equations will beFor what value of $k$ do the equations $2x+3y=7$ and $6x+9y=k$ have infinitely many solutiWhich of these is NOT an algebraic method of solving a pair of linear equations?Solving $x+y=14$ and $x-y=4$ givesThe pair of equations $x+2y=4$ and $2x+4y=12$ hasThe pair of equations $2x+3y=5$ and $4x+6y=10$ hasA pair of linear equations that has at least one solution is said to beIf the two lines of a pair of linear equations are coincident (same line), the pair has