An additional 55 of the two numbers. Their difference is 7. See those numbers.
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Let the numbers be x and y.
From first condition,
x + y = 55 ___________ ( I )
From second condition,
x - y = 7 _____________ ( II )
Adding equations ( I ) and ( II ),
x + y = 55
+
x - y = 7
_____________
2x. = 62
∴ x = 31
Substituting value of x = 6 in equation ( I ),
=> x + y = 55
=> 31 + y = 55
=> y = 55 - 31
=>∴ y = 24
Thus, the numbers are 31 and 24 respectively.
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