Question

Farheen is twice as old as Saddam 5 years ago her age was three times Sadaf age find their present ages

Answer 1

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$\underline{\underline{\huge{\textbf{Solution:}}}}$

Given,
$\textit{Statement-1}$
Farheen is twice as old as Saddam

$\implies\textsf{Present Age of Farheen = 2 \times Present Age of Saddam}$

$\textit{Statement-2}$
5 years ago her age was three times Saddam age

$\implies \textsf{Age of Farheen 5 years Ago = 3 \times Age of Saddam 5 years Ago}$

Present Age of Farheen = ?

Present Age of Saddam = ?

$\underline{\large{\textsf{Step-1:}}}$
Assume Present Age of Saddam as a Variable.

Let Present Age of Saddam be x

$\underline{\large{\textsf{Step-2:}}}$
Express the Present Age of Farheen in terms of Variable.

Using Statement-1,
Present Age of Farheen = 2x ---------(1)

$\underline{\large{\textsf{Step-3:}}}$
Find the Age of Farheen 5 years ago.

Age of Farheen 5 years ago = Present Age of Farheen - 5

$\implies$ Age of Farheen 5 years ago = 2x-5

$\underline{\large{\textsf{Step-4:}}}$
Find the Age of Saddam 5 years ago

Age of Saddam 5 years ago = Present Age of Saddam - 5

$\implies$ Age of Saddam 5 years ago = x - 5

$\underline{\large{\textsf{Step-5:}}}$
Rewrite Statement-2 and solve for variable

$\implies$ (2x-5) = 3(x-5)

$\implies$ 2x-5 = 3x-15

$\implies$ 3x-2x = 15-5

$\implies$ x = 10

Saddam's Present Age = 10 years

$\underline{\large{\textsf{Step-6:}}}$
Find Farheen's Present Age

Using (1)

Farheen's Present Age = 2(10) = 20 years

$\therefore$
$\bigstar \textsf{Present Age of Farheen = \underline{\textbf{20\: years}}}$

$\bigstar \textsf{Present Age of Farheen = \underline{\textbf{20\: years}}}$

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