Question

rajan got married 8 years ago his present age is 6/5 times his age at the time of his marriage rajan sister was 10 years younger to him at the time of his marriage what is the age of rajan sister now

Answer 1

$\large{\boxed{\bold{Answer:}}}$

Let the present age of Rajan be x,

$Rajan's\:age\:at\:the\:time\:of\:marriage \: = (x - 8) \\ \\ = > x = \frac{6}{5}(x - 8) \\ \\ = > 5x = 6x - 48 \\ \\ = > x = 48$

$\bold{Rajan's\:sister\:age\:at\:the\:the\:time\:of\:marriage}$

$= (x - 8) - 10 = (x - 18) = 30$

$\bold{present\:age\:of\:Rajan's\:sister=\:30+ 8}$

= 38 years

$\large{\boxed{\bold{Hope\:it\:helps\:you!}}}$

Answer 2

$\textbf {Hey there, here is the solution.}$

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STEP 1: Define x:

Let Rajan be x years old now.

His sister will be x - 10 years old

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STEP 2: Find Rajan's age 8 years ago:

8 years ago, Rajan got married

Rajan = x - 8

His sister = x - 8 - 10 = x - 18

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STEP 3: Find Rajan's age:

x = 6/5 ( x - 8)

Multiply both sides by 5:

5x = 6(x - 8)

Distribute 6:

5x = 6x - 48

Subtract both sides by 6x:

-x = - 48

x = 48

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STEP 4: Find sister's age:

Sister = x - 10 = 48 - 10 = 38

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Answer: Rajan's sister is 38 years old now.

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⭐$\textbf {Cheers}$⭐