Question

6. Five years ago, Ramu was thrice as old as Somu and ten years later, Ramu will be
as old as Somu. Then the present ages of Ramu and Somu respectively are
5 సం||ల క్రితం రాము వయస్సు సోము వయస్సుకు 3 రెట్లు మరియు 10 సం||ల తరువాత రాము వయస్సు సోము వయస్సుకు 2
రాము మరియు సోముల ప్రస్తుత వయస్సులు వరుసగా
(1)35, 20
(
220, 35
(3) 20, 50
(4)50, 20
​

Answer 1

Step-by-step explanation:

Given Five years ago, Ramu was thrice as old as Somu and ten years later, Ramu will be twice as old as Somu. Then the present ages of Ramu and Somu  respectively are

• Let the age of Ramu be R – 5 years
• Let the age of Somu be S – 5 years
• According to the question Ramu was thrice as old as Somu
• So R – 5 = 3 (S – 5)
• So R – 5 = 3S – 15
• Or R – 3S = - 10 -----------1
• After 10 years
• Age of Ramu will be R + 10
• Age of Somu will be S + 10
• So Ramu will be twice as old as Somu.
•  So R + 10 = 2(S + 10)
•  So R + 10 = 2S + 20
•      R – 2S = 10 --------------2
• Now from equation 1 and 2 we have
•      R – 3S = - 10
•      R – 2S = 10
•           Subtracting we get
•       So – S = - 20
•      Or S = 20
• Now R – 2S = 10
•   R – 2(20) = 10
•  R – 40 = 10
• R = 10 + 40
•  R = 50
• Therefore age of Ramu is 50 years and age of Somu is 20 years.

Reference link will be

https://brainly.in/question/24018949

Answer 2

$\underline{\pink{ At \: present : }}$

$Age \: of \: Ramu = x \: years$

$Age \: of \: Somu = y \: years$

$\underline{\blue{ 5 \: years \: ago: }}$

$Age \: of \: Ramu = (x -5)\: years$

$Age \: of \: Somu = (y-5) \: years$

/* According to the problem given */

$x - 5 = 3(y-5)$

$\implies x - 5 = 3y - 15$

$\implies x = 3y - 15 + 5$

$\implies x = 3y - 10 \: --(1)$

$\underline{\orange{ 10\: years \: later: }}$

$Age \: of \: Ramu = (x +10)\: years$

$Age \: of \: Somu = (y+10) \: years$

/* According to the problem given */

$x + 10 = 2(y+10)$

$\implies x + 10 = 2y + 20$

$\implies 3y-10+10 = 2y + 20 \: [ From \: (1) ]$

$\implies 3y - 2y = 20$

$\implies y = 20 \: ---(2)$

/* Put y = 20 in equation (1) , we get */

$x = 3 \times 20 - 10$

$\implies x = 60 - 10$

$\implies x = 50\: ---(3)$

Therefore.,

$\red{Present \: age \: of \: Ramu } \green { = 50 \:years }$

$\red{ Present \:age \: of \:Somu } \green { = 20 \:years }$

$Option \: \pink{ ( 4 ) } \: is \: correct$

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