Question

The sum of the present ages of Jayesh, Prakash and Sameer is 93 years. 10 years ago the ratio of their ages was 2:3:4. What is the present age of Prakash ?​

Answer 1

Answer:

38 years..

Step-by-step explanation:

Let the respective ages of Yogesh, Prakash, and Sameer 10 years's ago be 2x, 3x and 4 x years.

∴ Present age of Yogesh = (2x + 10 ) years

∴ Present age of Prakash = (3x + 10 ) years

∴ Present age of sameer = (4x + 10) years

According to question,

(2x + 10) + (3x + 10) + (4x + 10 ) = 93

⇒ 9x + 30 = 93

⇒ 9x = 63

∴ x = 7

∴ Present age of Sameer = 4x + 10 = 28 + 10 = 38 years .

Answer 2

$\underline{\underline{\bf{\maltese\:\:Given}}}$

The sum of the present ages of Jayesh, Prakash and Sameer is 93 years.

⟹ 10 years ago the ratio of their ages was 2:3:4

$\underline{\underline{\bf{\maltese\:\:To \: find}}}$

⟹ Present age of Prakash = ?

$\underline{\underline{\bf{\maltese\:\: Solution}}}$

$\sf \bigstar \: \: \underline{Suppose, \: ten \: years \: ago \: the \: age \: of} :$

$\sf \dashrightarrow \: Jayesh = 2x \: years$

$\sf \dashrightarrow \: Prakash = 3x \: years$

$\sf \dashrightarrow \: Sameer = 4x \: years$

$\sf \bigstar \: \: \underline{Therefore, \: their \: present \: age \: will \: be} :$

$\sf \dashrightarrow \: Jayesh = (2x + 10) \: years$

$\sf \dashrightarrow \: Prakash = (3x + 10) \: years$

$\sf \dashrightarrow \: Sameer = (4x + 10) \: years$

$\sf \bigstar \: \: \underline{According \: to \: question, }$

$\sf \dashrightarrow (2x + 10) + (3x + 10) + (4x + 10) = 93$

$\sf \dashrightarrow 2x + 10 + 3x + 10 + 4x + 10= 93$

$\sf \dashrightarrow 9x + 30= 93$

$\sf \dashrightarrow 9x = 93 - 30$

$\sf \dashrightarrow 9x = 63$

$\sf \dashrightarrow x = \cancel{\dfrac{63}{9} }$

$\sf \dashrightarrow x = 7$

$\sf \dashrightarrow \underline{Thus, \: value \: of \: x \: is \: 7 } \: \bigstar$

$\bf Now,$

$\sf \dashrightarrow Present \: age \: of \: Prakash= (3x + 10) \: years$

$\sf \dashrightarrow Present \: age \: of \: Prakash= (3 \times 7 + 10) = 31 \: years$

$\bf Hence,$

$\sf \dashrightarrow \underline{\boxed{ \sf Present \: age\:of \: Prakash= 31 \: years}} \: \bigstar$