Math, asked by brainlhero, 10 months ago

Present ages of Anu and Raj are in the ratio 4 : 5. Eight years from now the ratio of other ages will 5 : 6. find their present ages. ​

Answers

Answered by BrainlyRaaz
48

\huge{\pink{\green {\sf\boxed{ANSWER}}}}

•°•\bold{\pink {\sf\underline{Anu's\: age = 32 years}}}

•°•\bold{\pink {\sf\underline{Raj's\: age = 40 years}}}

\huge{\pink {\sf\underline{Step\: by\: step\: explanation}}}

Let the Anu's and Raj's age be </strong><strong> {</strong><strong>4</strong><strong>x}</strong><strong>\</strong><strong>:</strong><strong>and</strong><strong> </strong><strong>\</strong><strong>:</strong><strong>{</strong><strong>5x</strong><strong>}</strong><strong> </strong><strong>

After 8 years Anu's age =  {</strong><strong>4x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>8</strong><strong>}

After 8 years Raj's age =  {</strong><strong>5x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>8</strong><strong>}

\Large\boxed{</strong><strong>According</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>to</strong><strong>\</strong><strong>:</strong><strong> </strong><strong>question</strong><strong> </strong><strong>-</strong><strong>:</strong><strong>}

</strong><strong>⟹</strong><strong>\</strong><strong>d</strong><strong>frac</strong><strong>{</strong><strong>4x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>8</strong><strong>}</strong><strong>{</strong><strong>5x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>8</strong><strong>}</strong><strong>=\d</strong><strong>frac</strong><strong>{</strong><strong>5</strong><strong>}</strong><strong>{</strong><strong>6</strong><strong>}</strong><strong> </strong><strong>

 {</strong><strong>⟹</strong><strong> </strong><strong>24x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>48</strong><strong> </strong><strong>=</strong><strong> </strong><strong>25x</strong><strong> </strong><strong>+</strong><strong> </strong><strong>40</strong><strong>}

 {</strong><strong>⟹</strong><strong> </strong><strong>24x</strong><strong> </strong><strong>-</strong><strong> </strong><strong>25x</strong><strong> </strong><strong>=</strong><strong> </strong><strong>40</strong><strong> </strong><strong>-</strong><strong> </strong><strong>48</strong><strong>}

 {</strong><strong>⟹</strong><strong> </strong><strong>-</strong><strong>x</strong><strong> </strong><strong>=</strong><strong> </strong><strong>-</strong><strong>8</strong><strong>}

 {</strong><strong>⟹</strong><strong> </strong><strong>x</strong><strong> </strong><strong>=</strong><strong> </strong><strong>8</strong><strong>}

\</strong><strong>small</strong><strong>\boxed{</strong><strong>Hence</strong><strong>,</strong><strong>}

•°• Anu's age 4x = 4*8 = 32 years

•°• Raj's age 5x = 5*8 = 40 years

\Large\boxed{</strong><strong>Solved</strong><strong>}

#Be_Brainly

Answered by Anonymous
61

 \bf{\underline{\underline{Answer:}}}

•°• \bf{Anu's\: age = 32 years}

•°•\bf {Raj's\: age = 40 years}

 \bf{\underline{\underline{Step\: by\: step\: explaination:}}}

Let the Anu's and Raj's age be  {4x}\:and \:{5x}

After 8 years Anu's age = {4x + 8}

After 8 years Raj's age = {5x + 8}

 \bf{\underline{According\: to\: question -:}}

 ⟹\dfrac{4x + 8}{5x + 8}=\dfrac{5}{6}

 {⟹24x+48=25x+40}

 ⟹ {x = 8}

 \bf{⟹x=8}

So,

 \bf{Anu's\: age \:⟹ \:4x = 4×8 = 32\: years}

\bf Raj's \:age\: ⟹ \:5x = 5×8 = 40\: years

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