Question

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. ​

Answer 1

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

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

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

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

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

Answer 2

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

•°•$\bf{Anu's\: age = 32 years}$

•°•$\bf {Raj's\: age = 40 years}$

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

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,

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

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