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If x + y = 10 and x - y = 2, what is the value of xy?
24
20
16
18
24
The value of xy is determined by solving the simultaneous linear equations where x plus y equals 10 and x minus y equals 2. Solving these equations yields x equals 6 and y equals 4, making their product equal to 24.
The value of xy is determined by solving the simultaneous linear equations where x plus y equals 10 and x minus y equals 2. Solving these equations yields x equals 6 and y equals 4, making their product equal to 24.
Algebraic identities and linear equations form a core foundation of quantitative aptitude tested across railway and central competitive examinations.
Adding the two equations gives two times x equals 12, so x equals 6.
Subtracting the equations gives two times y equals 8, so y equals 4.
Multiplying x and y yields 6 times 4, which equals 24.
Option A is correct because the product of 6 and 4 is 24.
Option B, C, and D represent incorrect arithmetic outputs.
Linear equation solving is a high-yield scoring topic in competitive aptitude tests.
A is correct тАФ Multiplying the solved values of x and y results in 24.
Understanding simultaneous equations aids in solving word problems involving age, speed, and distance efficiently in upcoming exam shifts.
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