Given:
Age of both is In ratio 5:7
To Assume:
Their Present Age
Formula Used:
\begin{gathered}( - )+ ( - ) = (+) \\ ( + ) + ( - ) = ( - ) \\ ( + ) + ( + ) = ( + ) \\ ( - ) + ( + ) = ( - )\end{gathered}
(−)+(−)=(+)
(+)+(−)=(−)
(+)+(+)=(+)
(−)+(+)=(−)
Solution:
Let the age of
Rahul be 5x
Haroon age 7x
Equation:
5x - 4 + 7x + 4 = 565x−4+7x+4=56
\color{crimson}{5x}5x - \color{hotpink}{4}4 + \color{crimson}{7x}7x + \color{hotpink}{4}4 = 56
12x + \color{hotpink}{8}8 =56
12x = \color{crimson}{56-8}56−8
\color{hotpink}{12}12 x=\color{hotpink}{48}48
X = \color{crimson}{48/12}48/12
X=\color{hotpink}{4}4
Age of Rahul=5x=5(4)= \color{hotpink}{20years}20years
Age of Haroon=7x=7(4)= \color{hotpink}{28years}28years
∴The Present age of Rahul is 20 And Haroon is 28.
Thanks @llKillerBaell
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