Question

rohan is elder than roma by 7 years sum of their ages is 25 years what is rohans ages​

Answer 1

❍Let the present age of rohan be x years and roma be x - 7 years respectively.

$\\ \underline{\bigstar\boldsymbol{According\;to\;the\;given\;Question;}}$

• Here,The sum of their ages is 25 years and rohan is elder than roma by 7 years then the age will be x - 7 years.

Then,

$\\ \dashrightarrow \: \sf{25 = x + (x - 7)} \\ \\ \dashrightarrow \: \sf{25 = x + x - 7} \\ \\ \dashrightarrow \: \sf{25 = 2x - 7} \\ \\ \dashrightarrow \: \sf{25 + 7 = 2x} \\ \\ \dashrightarrow \: \sf{32 = 2x} \\ \\ \dashrightarrow \: \sf{x = \frac{ \cancel{32}}{ \cancel{2}}} \\ \\ \dashrightarrow \: \underline{\boxed{\frak{x = 16}}} \: \red{ \bigstar}$

Therefore,

• Present age of rohan = x = 16 years.
• Present age of roma = x - 7 = 16 -7 = 9 years.

Hence,

• Present age of rohan is 16 years.