Question

present age of puppy and Pinku are in the ratio for 4 :3 years from now the ratio of their ages will be 7 :6
find the percentage​

Answer 1

Present age of Puppy = 8 years  $\orange{\bigstar}$  

Present age of Pinku = 6 years  $\green{\bigstar}$

$\orange{\bigstar}$  Given  $\green{\bigstar}$

Present age of Puppy and Pinku are in the ratio for 4 :3 years

Six years from now the ratio of their ages will be 7 :6

$\orange{\bigstar}$  To Find  $\green{\bigstar}$

Present ages

$\orange{\bigstar}$  Solution  $\green{\bigstar}$

Let the present age of Puppy be , " 4x "

Present age of Pinku = " 3x "

After six years their age is in the ratio 7:6

$\to \rm \dfrac{4x+6}{3x+6}=\dfrac{7}{6}\\\\\to \rm 6(4x+6)=7(3x+6)\\\\\to \rm 24x+36=21x+42\\\\\to \rm 24x-21x=42-36\\\\\to \rm 3x=6\\\\\to \bf x=2\ \; \pink{\bigstar}$

So ,

Present age of Puppy , 4x = 8 years  $\orange{\bigstar}$

Present age of Pinku , 3x = 6 years  $\green{\bigstar}$

Answer 2

Let the present age of Puppy be 4x and Pinku be 3x respectively.

________________________

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf \dfrac{Puppy+6}{Pinku+6}=\dfrac{7}{6}$

$:\implies\sf \dfrac{4x + 6}{3x + 6} = \dfrac{7}{6}$

$:\implies\sf (4x + 6) \times 6= 7 \times (3x + 6)$

$:\implies\sf 24x + 36 = 21x + 42$

$:\implies\sf 24x - 21x = 42-36$

$:\implies\:\underline{\boxed{\sf x = 2\:years}}$

____________________

☯ $\underline{\boldsymbol{Present\: Age\:of\: Puppy\:\&\:Pinku:}}$

$\bullet\:\:\textsf{Puppy = 4x = 4(2) = \textbf{8 years}}$

$</p><p>\bullet\:\:\textsf{Pinku = 3x = 3(2) = \textbf{6 years}}$