Question

Sum of the ages of Prakash and Harish is 29 years. Prakash is younger than Harish by 3 years. Therefore Prakash's present age is _____.

Answer 1

Answer:

13 years

Step-by-step explanation:

age of prakash : p

age of harish : h

p+h = 29

p = h-3

h = p+3

hence

p+p+3 = 29

2p = 26

p = 13

Answer 2

❍ Let the present ages of prakash and harish be x years and x + 3 years respectively.

__________________

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

• Here,The sum of their ages are 29 years and prakash is younger than harish by 3 years then the age will be x + 3 years.

Then,

$\\ \longrightarrow \: \sf{29 = x + (x - 3)} \\ \\ \longrightarrow \: \sf{29 = x + x - 3} \\ \\ \longrightarrow \: \sf{29 = 2x - 3} \\ \\ \longrightarrow \: \sf{29 \: - \: 3 = 2x} \\ \\ \longrightarrow \: \sf{26 = 2x} \\ \\ \longrightarrow \: \sf{x = \frac{ \cancel{26}}{ \cancel{2}}} \\ \\ \longrightarrow \: \underline{ \boxed{\frak{x = 13}}} \: \pink{\bigstar}$

Therefore,

• Present age of harish = x + 3 = 13 + 3 = 16 years.
• Present age of prakash = x = 13 years.

Hence,

• Present age of prakash = 13 years.