Mathematics
The sum of two numbers is 70 and their difference is 16, the numbers are:
43 and 27
43 and -27
-43 and 27
-43 and -27
Linear Eqns One Variable
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Answer
Let the two numbers be x and y.
So,
x + y = 70
x - y = 16
Adding two equations, we get
⇒ (x + y) + (x - y) = 70 + 16
⇒ x + y + x - y = 70 + 16
⇒ 2x = 86
⇒ x =
⇒ x = 43
So the other number be y = 70 - x
⇒ y = 70 - 43
⇒ y = 27
Hence, option 1 is the correct option.
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