Suravi and Rishi could undertake a historic journey to the Antarctic thanks to the invitation
extended to them and their parents by the Chilean Navy. On their return from the trip, they
write a letter to Admiral Angel Vergara Villalobos, Commander-in- Chief of the Chilean Navy,
expressing their gratitude. They also seek an appointment with him to personally share their
experiences and give him an album of photographs of the trip.Write a letter
Answers
Explanation:
Given :-
6 years ago the ratio of Ages of Karan and Arjun was 6:5,
4 years from now the ratio of their ages will be 11:10 .
___________________________
▪To Find :-
Present Ages of Karan And Arjun
▪Solution :-
Let,
Present age of Karan be = x years
Present age of Arjun be = y years
《 6 years Ago 》
Age of Karan = (x - 6) years
Age of Arjun = (y - 6) years
According to the Given Condition :
\begin{gathered} \sf \dfrac{x - 6}{y - 6} = \frac{6}{5} \\ \\ \sf5(x - 6) = 6(y - 6) \\ \\ \sf5x - 30 = 6y - 36 \\ \\ \bf \large 5x - 6y = - 6 \: \: \: \: .\: . \: . \: (i)\end{gathered}
y−6
x−6
=
5
6
5(x−6)=6(y−6)
5x−30=6y−36
5x−6y=−6...(i)
《 4 Years Hence 》
Age of Karan = (x + 4) years
Age of Karan = (x + 4) years
According to the Given Condition :
\begin{gathered} \sf \dfrac{ x+ 4}{y + 4} = \frac{11}{10} \\ \\ \sf10(x + 4) = 11(y + 4) \\ \\ \sf10x + 40 = 11y + 44 \\ \\ \bf \large10x - 11y = 4 \: \: \: \:. \:. \: .\: (ii)\end{gathered}
y+4
x+4
=
10
11
10(x+4)=11(y+4)
10x+40=11y+44
10x−11y=4...(ii)
Solving equation (i) and (ii)
\Large\mathfrak{ \text{W}e\: \: \text{G}et,}WeGet,
\begin{gathered}\purple{\Large \underline {\boxed{{\bf x = 18\: years} }}} \\ \\ \purple{ \Large \underline {\boxed{{\bf y = 16\: years} }}}\end{gathered}
x=18years
y=16years
Hence,
Present age of Karan = 18 Years
Present age of Arjun = 16 Years
\begin{gathered} \Large \red{\mathfrak{ \text{W}hich \: \: are \: \: the \: \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswers.}}\end{gathered}
Which are the required
Answers.