Given: The Difference b/w two whole numbers is 66. & the ratio of these two whole numbers is 2: 5. Need to find: The Smaller number? ⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ ⌑ Let's say, that the smaller number be 2x and greater number be 5x respectively. ⠀ Given that, ⠀ It is given that, difference b/w these two whole numbers is 66. ⠀ \begin{gathered}:\implies\frak{ Greater\;no. - Smaller\;no. = Difference}\\\\\\:\implies\frak{ 5x - 2x = 66}\\\\\\:\implies\frak{ 3x = 66}\\\\\\:\implies\frak {x = \cancel\dfrac{66}{3}}\\\\\\:\implies{\pmb{\underline{\boxed{\purple{\frak{x = 22}}}}}}\;\bigstar\end{gathered} :⟹Greaterno.−Smallerno.=Difference :⟹5x−2x=66 :⟹3x=66 :⟹x= 3 66 :⟹ x=22 x=22 ★ ⠀ Therefore, Smaller number, 2x = 2(22) = 44 Greater number, 5x = 5(22) = 110 ⠀ \begin{gathered}\therefore{\underline{\textsf{Hence, the smaller number is \textbf{44}.}}}\\\end{gathered} ∴ Hence, the smaller number is 44. \begin{gathered}\rule{230px}{.2ex}\\\end{gathered} • V E R I F I C A T I O N : ⠀ As We know that, the difference between the two whole numbers is 66. So, Let's Verify answer — ⠀ \begin{gathered}:\implies\sf 5x - 2x = 66\\\\\\\end{gathered} :⟹5x−2x=66 \begin{gathered}:\implies\sf 5(22) - 2(22) = 66\\\\\\\end{gathered} :⟹5(22)−2(22)=66 \begin{gathered}:\implies\sf 110 - 44 = 66\\\\\\\end{gathered} :⟹110−44=66 \begin{gathered}:\implies{\pmb{\underline{\boxed{\frak{66=66}}}}}\\\\\end{gathered} :⟹ 66=66 66=66 \begin{gathered}\quad\quad\quad\quad\therefore{\underline{\pmb{\mathcal{HENCE\; VERIFIED!}}}}\\\end{gathered} ∴ HENCEVERIFIED! HENCEVERIFIED!
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