Question

aman is 6 times as old as his son now. in 6 years their age will be in the ratio of 7:2 find the current age of his son?​

Answer 1

Answer:

$\huge{\underline{\underline{\mathfrak{Answer\::}}}}$

Current age of son = 6 years.

$\bold\green{Solution\::}$

Let the current age of his son be x years and Aman's current age be 6x years.

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After 6 years, Aman's age will be : 6x + 6

After 6 years, his son's age will be : x + 6

According to question:-

(6x+6) : (x+6) = 7 : 2

=> (6x + 6)/(x+6) = 7/2

=> 7(x + 6) = 2 (6x+6)

=> 7x + 42 = 12x + 12

=> 7x - 12x = 12 - 42

=> -5x = - 30

=> x = -30/-5

=> x = 6

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Current age of his son = x = 6 years.

Current age of Aman = 6x = 6×6 =36 years

#Answerwithquality

#BAL

Answer 2

$\underline \mathbb{SOLUTION}$

$\underline \mathbb{LET,}$

The current age of his son be x years and Aman's age be 6 years.

$\underline \mathbb{ATQ,}$

After 6 years Aman's age will be 6x + 6 and after 6 years his son's age is x + 6 years.

$= > (6x +6):(x + 6) = 7:2$

$= > \frac{(6x + 6)}{x + 6} = \frac{7}{2}$

$= > 7(x + 6) = 2(6x + 6)$

$= > 7x + 42 = 12x + 12$

$= > 7x + 42 = 12x + 12$

$= > - 5x = - 30$

$= > x = \frac{ - 30}{ - 5}$

$= > x = 6$

$\underline \mathbb{ANSWER; x=6yrs }$

AGE OF SON = 6 yrs

AGE OF AMAN = 6×6 = 36 yrs

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