The sum of two numbers (x) and (y) is (20), and (y=8). What will be the value of (x)?
Answer and explanation
Correct answer: \(x=12\)
The given equation is \(x+y=20\). Substituting \(y=8\) gives \(x+8=20\). Subtracting 8 from both sides gives \(x=12\). If \(x=10\), the sum would be 18, so it is incorrect. Exam tip: Substitute the given value into the equation and simplify to find the unknown.
Frequently asked questions
What is the correct answer to this question?
\(x=12\)
Why is this the correct answer?
The given equation is \(x+y=20\). Substituting \(y=8\) gives \(x+8=20\). Subtracting 8 from both sides gives \(x=12\). If \(x=10\), the sum would be 18, so it is incorrect. Exam tip: Substitute the given value into the equation and simplify to find the unknown.
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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