The difference of two numbers is 5 and their sum is 25. Let the numbers be x and y with x−y=5 and x+y=25. Use substitution to find the larger number x.
Class 10Substitution MethodAlgebra — Systems of Equations
A15
B14
C30
D16
Step-by-Step Solution
From x−y=5,x=y+5. Substitute into x+y=25:(y+5)+y=25,2y=20,y=10,x=15.
Answer: A) 15
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