Question

Jaya is 28 years old and her daughter Purvi is 7 years.In how many years will jaya age be double of purvi age.​

Answer 1

$\huge\red{HELLO\:MATE}$

$<b><I>Let us take that Jaya will be double of Purvi's age in x yrs.</b>$

Age of Jaya after x yrs = 28 + x years.

Age of Purvi after x yrs.= 7 + x years.

Then,

ATQ, 2(7 + x) = 28 + x

or 14 + 2x = 28 + x.

or 2x - x = 28 - 14.

Therefore x = 14.

$<b>Therefore Jaya will be double of Purvi's age in 14yrs.$

Answer 2

$\bf\huge\textbf{\underline{\underline{According\:to\:the\:Question}}}$    

Suppose the ages of both Girls is p

Age of Jaya = 28 + p years.

Age of Purvi = 7 + p years.

$\bf\huge\bf\huge{\boxed{\bigstar{Therefore}}}}$          

By the Condition

$\bf\huge\bf\huge{\boxed{\bigstar{{Substitute\:an\:Equation}}}}$          

2(7 + p) = 28 + p  

14 + 2p = 28 + p.

2p - p = 28 - 14.

p = 14.

$\bf\huge\bf\huge{\boxed{\bigstar{{Jaya \:age \:be \:double\:in\: 14\:age}}}}$