Question

the ages of Babu and Sabu in the ratio 3:5 four years later sum of their ages will be 64 years . what is their present age?​

Answer 1

$\large \bf \clubs \:  Given :-$

• Ratio of Presrnt Ages of Babu and Sabu is 3 : 5.

• Sum of their ages after 4 years will be 64 years.

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$\large \bf \clubs \:  To \: Find :-$

• Their Present Ages

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$\large \bf \clubs \:  Solution :-$

As The Ratio of Ages of Babu and Sabu is 3 : 5

Let ,

• Present Age of Babu = 3x years

• Present Age of Sabu = 5x years

《 After 4 years 》

• Age of Babu= 3x + 4 years

• Age of Sabu = 5x + 4 years

✏ According To Question :

$\text{Sum of Ages After 4 years = 64 years }$

$:\longmapsto \text{3x + 4 + 5x + 4 = 64}$

$:\longmapsto \text{8x + 8 = 64}$

$:\longmapsto \text{8x} = 64 - 8$

$:\longmapsto \text x = \cancel\dfrac{56}{8}$

$\purple{ \Large :\longmapsto  \underline {\boxed{{\bf x = 7} }}}$

Hence,

$\pink{\begin{cases} \: \bf{Present \: Age \: of \: Babu=21 \:years} \\ \\ \: \bf Present \: Age \: of \: Sabu=35 \:years\end{cases}}$

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Answer 2

$\huge \mathbb {Solution:-}$

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$\sf \red {\underline{\underline {Given\: data:}}}$

★Ages of Babu and Sabu are in the ratio 3:5

★Four years later sum of their ages will be 64

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$\sf \blue {\underline{\underline {To\: Find:}}}$

$\to \bf {Present\: age\: of\: Babu=?}$

$\to \bf {Present\: age\: of\: Sabu=?}$

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$\sf \pink {\underline{\underline {Consideration:}}}$

$\to \bf {Let\: Babu's\: age=3x}$

$\to \bf {Let\: Sabu's\: age=5x}$

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$\sf \purple {\underline{\underline {4\: years\: later:}}}$

$\to \bf { Babu's\: age=3x+4}$

$\to \bf {Sabu's\: age=5x+4}$

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★Sum of their ages will be 64 years

$\colon \to \bf {3x+4+5x+4=64}$

$\colon \to \bf {8x+8=64}$

$\colon \to \bf {8x=64-8}$

$\colon \to \bf {x=\frac{56}{8}}$

$\colon \to \bf {x=\frac{\cancel{56}^{7}}{\cancel{8}}}$

$\implies \bf {\fbox{x=7}}$

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★As we discovered the value of 'x' we can find the present age of Babu and Sabu

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$\to \bf {Present\: age\: of\: Babu=3x}$

$\to \bf {Present\: age\: of\: Babu=3(7)}$

$\implies \bf \green{\fbox{Present\: age\: of\: Babu=21\: years}}$

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$\to \bf {Present\: age\: of\: Sabu=5x}$

$\to \bf {Present\: age\: of\: Sabu=5(7)}$

$\implies \bf \green{\fbox{Present\: age\: of\: Sabu=35\: years}}$

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$\sf \purple {\underline{\underline{Thereupon,}}}$

$\to \bf{Their\: present\: ages\: are\: 21}$ $\bf {years\:and\: 35\: years}$ $\bf {respectively.}$