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The ages of Akbar and Rahim are in the ratio of 3:5. Five years later the sum of their ages will be 50 years. What are their present ages?​

Answer 1

Step-by-step explanation:

let present ages =3x, 5x

(3x+5)+(5x+5)=50

3x+5+5x+5=50

8x+10=50

8x=50-10

8x=40

x=40/8

x=5

then age of akbar=5*3=15

rahim=5*5=25

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Answer 2

$\large \underline \bold \red {GIVEN:- \: }$

$\bold{ \bold \mapsto \: The \: ages \: of \: Akbar \: and \: Rahim \: are \: in \:}$

$\bold{ \: \: \: \: \: \: \: \: \: the \: ratio \: of \: 3:5.}$

$\bold{ \bold \mapsto \:Five \: years \: later \: the \: sum \: of \: their \: }$

$\bold{ \: \: \: \: \: \: \: ages \: will \: be \: 50 \: years.}$

$\large \underline \bold \pink {</p><p>TO \: FIND</p><p> \: :- \: }$

$\bold{ \bold \mapsto \: What \: are \: their \: present \: ages.}$

$\large \underline \bold \orange {</p><p>SOLUTION</p><p> :- \: }$

let,

$\bold{→ Present \: age \: of \: Akbar = 3x \: years}$

$\bold{→ Present \: age \: of \: Rahim= 5x \: years}$

$\bold \blue {\: five \: years \: later : }$

$\bold{→ age \: of \: Akbar =( 3x + 5) \: years}$

$\bold{→ age \: of \: Rahim =( 5x + 5) \: years}$

$\bold \blue{According \: to \: the \: question,}$

$\bold{ \Rightarrow \: (3x+5) + (5x + 5) = 50} \\ \\ \bold{ \Rightarrow \: 3x + 5 + 5x + 5 = 50} \\ \\ \bold{\Rightarrow \:3x + 5x + 5 + 5 = 50} \\ \\ \bold{\Rightarrow \:8x + 10 = 50} \\ \\ \bold{\Rightarrow \:8x = 50 - 10} \\ \\ \bold{\Rightarrow \: 8x = 40} \\ \\\bold{\Rightarrow \: x = \frac{40}{8} } \\ \\ \boxed { \pink \Rightarrow \: \bold\pink {x = 5 \: years}}$

$\bold{Hence, the \: required \: ages \: of \: Akbar \: and \: } \\ \bold{Rahim \: are:}$

$\bold \green{ \mapsto \: Present \: age \: of \: Akbar : - }$

$\bold{ \rightarrow \: 3x \: years } \\ \\ </p><p>\bold{ \rightarrow \:3 \times 5 \: years} \\ \\ </p><p> \bold\red{ \rightarrow \:15 \: years}$

$\bold \green{ \mapsto \: Present \: age \: of \: Rahim : - }$

$\bold{ \rightarrow \: 5x \: years } \\ \\ </p><p>\bold{ \rightarrow \:5 \times 5 \: years} \\ \\ </p><p> \bold\red{ \rightarrow \:25 \: years}$

$\underline \bold \red { \bold \therefore \: The \: present \: age \: of \: Akbar \: and \: Rahim }\\ \: \underline \bold \red{\: is \: 15 \: years \: and \: 25 \: years \: respectively.}$