Question
Mathematics Question on A Mind-Reading Game
Solve the following equations:
(a) 10p = 100
(b) 10p + 10 = 100
(c)4p=5
(d) 3−p=5
(e)43p=6
(f)3s=-9
(g)3s+12=0
(h)3s=0
(i)2q=6
(j)2q-6=0
(k)2q+6=0
(l)2q+6=12
Answer
(a) 10p = 100
\Rightarrow$$\frac{10p}{10}=\frac{100}{10}[Dividing both sides by 10]
\Rightarrow$$p=10
(b) 10p + 10 = 100
⇒10p + 10-10= 100-10
\Rightarrow$$10p=90
\Rightarrow$$\frac{10p}{10}=\frac{90}{10}
(c) 4p=5
4p×4=5×4
p=20
(d) 3−p=5
3−p×−3= 5×−3
p=−15
(e) 43p=6
43p×4=6×4
3p=24
33p=324