Question

राकेशचे वय सानियाच्या वयापेक्षा 5 वर्षांनी कमी आहे. त्यांच्या वयांची बेरीज 27 वर्षे आहे, तर प्रत्येकाचे वय किती ?

Answer 1

उत्तर :

सानियाचे वय = 16 वर्ष

राकेश चे वय = 11 वर्ष

राकेश चे वय = सानियाच्या वयापेक्षा 5 वर्षांनी कमी

त्यांच्या वयांची बेरीज = 27 वर्षे

समजा सानियाचे वय = x

राकेश चे वय = x - 5

$\tt{\implies \: x + (x - 5) = 27}$

$\tt{\implies \: x + x - 5 = 27}$

$\tt{\implies2x - 5 = 27}$

$\tt{\implies2x = 27 + 5 }$

$\tt{\implies2x = 32}$

$\tt{\implies \: x = \dfrac{32}{2} }$

$\tt{\implies \: x =16}$

सानियाचे वय = 16 वर्ष

राकेश चे वय = x - 5

$\tt{\implies \: x - 5}$

$\tt{\implies16 - 5}$

$\tt{\implies11}$

राकेश चे वय = 11 वर्ष

पडताळणी :-

$\tt{\implies16 + (16 - 5) = 27}$

$\tt{\implies16 + 11 = 27}$

$\tt{\implies27 = 27}$

सानियाचे वय = 16 वर्ष

राकेश चे वय = 11 वर्ष

$\textbf{\underline{\underline{Question :-}}}$

Rakesh is 5 years younger than Saniya. The sum of their ages is 27. Find their ages.

$\textbf{\underline{\underline{Answer :-}}}$

Saniya's age is 16 years and Rakesh's age is 11 years.

$\textbf{\underline{Explanation :-}}$

$\textsf{\underline{\underline{Given : }}}$

Rakesh is = 5 years younger than Saniya.

Sum of their ages = 27 years.

$\textsf{\underline{\underline{To find :}}}$

The ages of Rakesh and Saniya

$\textsf{\underline{\underline{Solution : }}}$

Consider Saniya's age as x

Consider Rakesh's age as x - 5

$\tt{\implies \: x + (x - 5) = 27}$

$\tt{\implies \: x + x - 5 = 27}$

$\tt{\implies2x - 5 = 27}$

$\tt{\implies2x = 27 + 5}$

$\tt{\implies2x = 32}$

$\tt{\implies \: x = \dfrac{32}{2} }$

$\tt{\implies \:x \: = 16}$

$\boxed{\tt{Saniya \: = \: 16 \: years \: old}}$

Rakesh's age = x - 5

$\tt{\implies \: x - 5 }$

$\tt{\implies16 - 5}$

$\tt{\implies \: 11}$

$\boxed{\tt{Rakesh \: = \: 11 \: years \: old}}$

$\therefore$ Saniya's age is 16 years and Rakesh's age is 11 years.

$\textbf{\underline{Verification :-}}$

$\tt{\implies16 + (16 - 5) = 27}$

$\tt{\implies16 + 11 = 27}$

$\tt{\implies27 = 27}$

$\boxed{\tt{LHS = RHS }}$

$\therefore$ Saniya's age is 16 years and Rakesh's age is 11 years.