Question

the ages of ramu and laxman are in the ratio 6:7 five years later, the sum of their ages will be 36 what are their present ages

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Answer 1

Answer:

present age of ramu = 12 years

present age of laxman = 14 years

Step-by-step explanation:

let the constant age be x .

present age of ramu = 6x

present age of laxman = 7x

theirages after 5 years -

age of ramu = 6x + 5

age of laxman = 7x + 5

sum of their ages = 36

A.T.Q,

6x + 5 + 7x + 5 = 36

6x + 7x + 5 + 5 = 36

13x + 10 = 36

13x = 36 - 10

13x = 26

x = 26/13

x = 2

present age of ramu = 6 × 2

present age of ramu = 12 years

present age of laxman = 7 × 2

present age of laxman = 14 years

Answer 2

AnswEr :

Ratio of the ages of ramu & laxman = 6 : 7

Let us Consider the present age of ramu is 6 x

And, Present age of laxman is 7x.

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⠀⠀⠀⠀⠀⠀ ⠀⠀ Five years Later -

$\longrightarrow$ Ramu's Age = (6x + 5)

$\longrightarrow$ And, Laxman's Age = (7x + 5)

⠀⠀⠀⠀⠀⠀ ⠀⠀As Per Given Condition -

[Sum of their ages will be 36]

$\dashrightarrow\sf 6x + 5 + 7x + 5 = 36 \\ \\ \\ \dashrightarrow\sf 13x + 10 = 36 \\ \\ \\ \dashrightarrow\sf 13x = 36 - 10 \\ \\ \\ \dashrightarrow\sf 13x = 26 \\ \\ \\ \dashrightarrow\sf x = \cancel\dfrac{26}{13} \\ \\ \\ \dashrightarrow\sf\red{x = 2}$

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$\dashrightarrow\sf Ramu's \: age \: = \: 6(2) \\ \\ \\ \dashrightarrow\sf 12 \: years$

$\dashrightarrow\sf Laxman's \: age \; = \; 7(2) \\ \\ \dashrightarrow\sf 14 \: years$

Hence, Present age of Ramu is 12 years & Present age of Laxman is 14 years.