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The sum of two numbers is 53 and their difference is 25. Find the numbers.
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Step-by-step explanation:
The two numbers are 39 and 14 respectively
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the sum of two numbers is 53
x+y=53(1)
the difference of two numbers is 25
x-y=25(2)
from i and ii
2x=78
x=78/2=39
substitute x=39
x+y=53
39+y=53
y=53-39=14
substitute y=14
verify
x+y=53
39+14=53
53=53
LHS=RHS
x-y=25
39-14=25
25=25
LHS=RHS
the numbers are 39,14
x+y=53(1)
the difference of two numbers is 25
x-y=25(2)
from i and ii
2x=78
x=78/2=39
substitute x=39
x+y=53
39+y=53
y=53-39=14
substitute y=14
verify
x+y=53
39+14=53
53=53
LHS=RHS
x-y=25
39-14=25
25=25
LHS=RHS
the numbers are 39,14
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