Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
