Question

answer my questions please

Answer 1

10 year deepak
5 year deep

Answer 2

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \:QUESTION \: \: \mid}}}}}}$

$\bold{Deepak \: \: is \: \: 5 \: years \: \: older \: \: than \: \: deep. \: Five \: \: years} \\ \bold{ago \: \: deepak \: \: was \: \: twice \: \: as \: \: old \: \: as \: \: deep \: \: was.} \\ \bold{Then \: \: find \: \: their \: \: present \: \: age.}$

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \: SOLUTION \: \: \mid}}}}}}$

$\bold{Let,} \\ \\ \bold{Present \: \: age \: \: of \: \: deep = x \: \: years} \\ \\ \bold{So,} \\ \\ \bold{Present \: \: age \: \: of \: \: deepak \: \: will \: \: be = (x + 5) \: \: years} \\ \\ \bold{[As \: \: it \: \: is \: \: given \: \: that \: \: Deepak \: \: is \: \: 5\: years \: \: older \: \: than \: \: Deep.]}$

$\bold{5 \: \: years \: \:a go \: \: } \\ \\ \bold{Deep's \: \:a ge \: \: was =( 5 - x) \: years} \\ \\ \bold{Deepak's \: \: age \: \: was = [5 - (x + 5)] \: \: years} \\ \\ \\ \underline{\bold{\: \:According \: \: To \: \: Question\:\:}} \\ \\ \bold{5 - (x + 5) = 2(5 - x)} \\ \\ \bold{ = > 5 - x - 5 = 10 - 2x} \\ \\ \bold{ = > - x = 10 - 2x } \\ \\ \bold{ = > - x + 2x = 10} \\ \\ \bold{ = > x = \boxed{ \bold{10}}} \\ \\ \\ \bold{So,} \\ \\ \bold{x + 5 = 10 + 5 = \boxed{ \bold{15}}}$

$\bold{Hence,} \\ \\ \bold{Deep's \: \: present \: \: age \: \: is = x \: \: years = 10 \: \: years} \\ \\ \bold{Deepak's \: \: present \: \: age \: \: is = (x + 5) \: years= 15 \: \: years}$

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$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \: VERIFICATION \: \: \mid}}}}}}$

$\bold{Given,} \\ \\ \bold{Deepak \: \:is\: \: 5 \: years\: \:older \: \: than\: \: Deep} \\ \\ \bold{So,} \\ \\ \boxed{\bold{ Deep's \: \: present \: \: age + 5 = Deepak's \: \: present\: \: age}} \\ \\ \bold{Deep's \: \: present \: \: age + 5 =( 10 + 5) \: \: years} \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \: \: years } \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = Deepak's \: \: present \: \: age}$

$\bold{Again,} \\ \\ \bold{It \: \: is \: \: given,} \\ \\ \bold{5 \: \: years \: \: ago \: \: Deepak\: \: \: \: was \: \: twice \: \: as \: \: old \: \: as \: \: Deep} \\ \\ \bold{So,} \\ \\ \boxed{\bold{ 2(Deep's \: \: age \: \:o f \: \: 5 \: \: years \: \: ago )= Deepak's \: \: age \: \: of \: \: \: years \: \: ago}} \\ \\ \\ \bold{Deep's \: \: age \: \: of \: \:5 \: \: years \: \: ago \: \: was =( 10 - 5) \: years= 5 \: \: years} \\ \\ \bold{Deepak's \: \: age \: \: of \: \: 5\: years \: \: ago \: \: was = (15 - 5) \: years = 10 \: \: years} \: \\ \\ \bold{Thus} \\ \\ \bold{2(Deep's \: \: age \: \: of \: \: 5 \: years \: \: ago) = (2 \times 5) \: \: years} \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 \: \: years} \\ \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = Deepak's \: \: age \: \: of \: \: 5 \: years \: \: ago}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \bold{ \: \: Hence \: \: Verified. \: \: \: }}$

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✝$\mathfrak{ \red{ THANKS...}}$✝