you must have obseved the interior of the ciema hall. what measures takan to reduce everbetion there
Answers
Answer:
G i v e n :
The present age of Hari & Harry are in the ratio of 5 : 7. After two years, the sum of their (Hari and Harry) ages will be 52 years.
N e e d T o F i n d :
The present age of Harry and Hari?
S o l u t i O n :
❍ Let's say, that the present age of Hari and Harry be 5x and 7x respectively.
⠀
⚘ After two years, their ages —
Hari's age = (5x + 2) years
Harry's age = (7x + 2) years
⠀
\begin{gathered}\bigstar\:\underline{\textbf{According to the QuesTion Now :}} \\\end{gathered}
★
According to the QuesTion Now :
After two years, the Sum of their (Hari and Harry) ages will be 52 years.
⠀
\begin{gathered}:\implies\sf \Big\{5x + 2\Big\} + \Big\{7x + 2\Big\} = 52 \\\\\\:\implies\sf 5x + 2 + 7x + 2 = 52\\\\\\:\implies\sf 12x + 4 = 52\\\\\\:\implies\sf 12x = 52 - 4\\\\\\:\implies\sf 12x = 48\\\\\\:\implies\sf x = \cancel\dfrac{48}{12}\\\\\\:\implies{\underline{\boxed{\pink{\pmb{\frak{x = 4}}}}}}\;\bigstar\end{gathered}
:⟹{5x+2}+{7x+2}=52
:⟹5x+2+7x+2=52
:⟹12x+4=52
:⟹12x=52−4
:⟹12x=48
:⟹x=
12
48
:⟹
x=4
x=4
★
⠀
Therefore,
Present age of Hari, 5x = 5(4) = 20
Present age of Harry, 7x = 7(4) = 28
⠀
\therefore{\underline{\textsf{Hence, present age of Hari and Harry is \textbf{20 years} and \textbf{28 years} respectively.}}}∴
Hence, present age of Hari and Harry is 20 years and 28 years respectively.
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
• V E R I F I C A T I O N :
⠀
As we know that, sum of their ages will be 52 years after two years. So, let's Verify the answer by Substituting the value of 'x' —
⠀
\begin{gathered}\dashrightarrow\sf 5x + 2+ 7x + 2= 52 \\\\\\\dashrightarrow\sf 5(4) + 2 + 7(4) + 2 = 52\\\\\\\dashrightarrow\sf 20 + 2 + 28 + 2 = 52\\\\\\\dashrightarrow\sf 48 + 4 = 52\\\\\\\dashrightarrow{\boxed{\boxed{\frak{\red{52 = 52}}}}}\\\\\end{gathered}
⇢5x+2+7x+2=52
⇢5(4)+2+7(4)+2=52
⇢20+2+28+2=52
⇢48+4=52
⇢
52=52
⠀\qquad\qquad\therefore{\underline{\pmb{\blue{\mathcal{HENCE\; VERIFIED!}}}}}∴
HENCEVERIFIED
G i v e n :
The present age of Hari & Harry are in the ratio of 5 : 7. After two years, the sum of their (Hari and Harry) ages will be 52 years.
N e e d T o F i n d :
The present age of Harry and Hari?
S o l u t i O n :
❍ Let's say, that the present age of Hari and Harry be 5x and 7x respectively.
⠀
⚘ After two years, their ages —
Hari's age = (5x + 2) years
Harry's age = (7x + 2) years
⠀
\begin{gathered}\bigstar\:\underline{\textbf{According to the QuesTion Now :}} \\\end{gathered}
★
According to the QuesTion Now :
After two years, the Sum of their (Hari and Harry) ages will be 52 years.
⠀
\begin{gathered}:\implies\sf \Big\{5x + 2\Big\} + \Big\{7x + 2\Big\} = 52 \\\\\\:\implies\sf 5x + 2 + 7x + 2 = 52\\\\\\:\implies\sf 12x + 4 = 52\\\\\\:\implies\sf 12x = 52 - 4\\\\\\:\implies\sf 12x = 48\\\\\\:\implies\sf x = \cancel\dfrac{48}{12}\\\\\\:\implies{\underline{\boxed{\pink{\pmb{\frak{x = 4}}}}}}\;\bigstar\end{gathered}
:⟹{5x+2}+{7x+2}=52
:⟹5x+2+7x+2=52
:⟹12x+4=52
:⟹12x=52−4
:⟹12x=48
:⟹x=
12
48
:⟹
x=4
x=4
★
⠀
Therefore,
Present age of Hari, 5x = 5(4) = 20
Present age of Harry, 7x = 7(4) = 28
⠀
\therefore{\underline{\textsf{Hence, present age of Hari and Harry is \textbf{20 years} and \textbf{28 years} respectively.}}}∴
Hence, present age of Hari and Harry is 20 years and 28 years respectively.
⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
• V E R I F I C A T I O N :
⠀
As we know that, sum of their ages will be 52 years after two years. So, let's Verify the answer by Substituting the value of 'x' —
⠀
\begin{gathered}\dashrightarrow\sf 5x + 2+ 7x + 2= 52 \\\\\\\dashrightarrow\sf 5(4) + 2 + 7(4) + 2 = 52\\\\\\\dashrightarrow\sf 20 + 2 + 28 + 2 = 52\\\\\\\dashrightarrow\sf 48 + 4 = 52\\\\\\\dashrightarrow{\boxed{\boxed{\frak{\red{52 = 52}}}}}\\\\\end{gathered}
⇢5x+2+7x+2=52
⇢5(4)+2+7(4)+2=52
⇢20+2+28+2=52
⇢48+4=52
⇢
52=52
⠀\qquad\qquad\therefore{\underline{\pmb{\blue{\mathcal{HENCE\; VERIFIED!}}}}}∴
HENCEVERIFIED