Respuesta :
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
[tex]M = 6S[/tex]
[tex]S + 5 = \frac{1}{3}M[/tex]
where [tex]S[/tex] is the current age of Shobos and [tex]M[/tex] is the current age of his mother.
Substituting the first equation into the second will allow us to solve for [tex]S[/tex]:
[tex]S + 5 = \frac{1}{3}M[/tex]
[tex]S + 5 = \frac{1}{3}(6S)[/tex]
[tex]S + 5 = 2S[/tex]
[tex]S = 5[/tex]
Substituting this value into the first equation gives us the age of the mother:
[tex]M = 6S[/tex]
[tex]M = 6(5)[/tex]
[tex]M = 30[/tex]
Answer:
Present age of Shobo is 5 years and present age of Shobo's mother is 30 years.
Step-by-step explanation:
Given :-
- Shobo's mother's present age is 6 times of Shobo's present age.
- Shobo's age 5 from now will be 1/3 of his mother's present age.
To find :-
- Their present ages.
Solution :-
Consider,
- Shobo's present age = x years
★ Shobo's mother's present age is 6 times of Shobo's present age.
- Shobo's Mother's Present age = 6x years
Shobo's age 5 from now,
= (x+5) years
According to the question ,
[tex]\to\sf{x+5=\dfrac{1}{3}\times\:6x}[/tex]
→ x + 5 = 2x
→ x-2x = -5
→ -x = -5
→ x = 5
★ Shobo's present age = 5 years
★ Shobo's mother's present age = 6×5 = 30 years.