Question

Half of 3 less than
a number is74.what is a number? ​

Answer 1

In the field of Rational numbers, ℚ
Q
, the answer is =12
x
=
12
because:

12=34−3⇒2=3−12⇒=12
1
2
x
=
3
4
x
−
3
⇒
2
x
=
3
x
−
12
⇒
x
=
12

But our answer could be from some other field of numbers. For example in the finite field 7
F
7
we have:

12=34−3⇒2=3−5⇒=5
1
2
x
=
3
4
x
−
3
⇒
2
x
=
3
x
−
5
⇒
x
=
5

In 7
F
7
you might also note that:

12=4
1
2
=
4
34=6
Pls mark as thanks