which is the two concecutive no. 77
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Answered by
2
Answer:
The integers are
9
and
11
or
−
9
and
−
7
Explanation:
Consecutive numbers differ by 1, but consecutive odd or even numbers differ by 2.
Let the numbers be
x
and
(
x
+
2
)
Their product is
x
(
x
+
2
)
Twice the larger is
2
(
x
+
2
)
x
(
x
+
2
)
=
2
(
x
+
2
)
+
77
←
write an equation.
x
2
+
2
x
=
2
x
+
4
+
77
←
a quadratic.
Usually we would make a quadratic equal to 0, but in this case the
x
terms cancel out to 0.
x
2
=
81
x
=
±
√
81
=
±
9
The numbers are:
9
and
11
or
−
9
and
−
7
Check:
9
×
11
=
99
and
22
+
77
=
99
−
9
×
−
7
=
63
and
−
14
+
77
=
63
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