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Complete the series.reduce,reuse,recycle_____ refuse​

Answer»

❍ Let Gaurav's and Sachin's ages one year ago be 6x and 7x respectively.Then,— Four years hence their ages;Gaurav's age = (6x + 1) + 4 = (6x + 5) yearsSachin's age = (7x + 1) + 4 = (7x + 5) years\underline{\bigstar\:\boldsymbol{According\; to \;the\; given\; Question :}} ★AccordingtothegivenQuestion: ⠀According to given condition, Four years hence the ratio of their ages (Gaurav's age & Sachin's age) would become 7: 8.⠀Therefore,⠀\begin{gathered}:\implies\sf \dfrac{(6x + 5)}{(7x + 5)} = \dfrac{7}{8} \\\\\\:\implies\sf 8(6x + 5) = 7(7x + 5) \\\\\\:\implies\sf 48x + 40 = 49x + 35\\\\\\:\implies\sf 48x - 49x = 35 - 40 \\\\\\:\implies\sf \cancel{\;-}\:1x = \cancel{\;-}\;5\\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 5}}}}}\;\bigstar\end{gathered} :⟹ (7x+5)(6x+5) = 87 :⟹8(6x+5)=7(7x+5):⟹48x+40=49x+35:⟹48x−49x=35−40:⟹ − 1x= − 5:⟹ x=5 ★ ⠀Hence,⠀Gaurav's present age = (6x + 1) = 6(5) + 1 = (30 + 1) = 31 years.Sachin's present age = (7x + 1) = 7(5) + 1 = (35 + 1) = 36 years.⠀.\therefore{\underline{\textsf{Hence, \; Sachin\;is\;\textbf{36 years}\;old.}}}∴ Hence, Sachinis36 yearsold.


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