The product of Stephen’s age (in years) five years ago and his age nine years later is 95. Determine Stephen’s present age.
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Answer:
Let the Tanvy age be x
5 years ago her age is (x-5)
and 8 years latter her age be (x+8)
then
(
x
−
5
)
(
x
+
8
)
=
30
x
2
+
8
x
−
5
x
−
40
=
30
x
2
+
3
x
−
70
=
0
x
2
+
(
10
−
7
)
x
−
70
=
0
x
2
+
10
x
−
7
x
−
70
=
0
x
(
x
+
10
)
−
7
(
x
+
10
)
=
0
(
x
+
10
)
(
x
−
7
)
=
0
x
+
10
=
0
x
=
−
10
Age can not be negative
x
−
7
=
0
x
=
7
Answer :- present age = 7 year old
Step-by-step explanation:
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