Question

Lakshmi is 24 years older than her daughter Priya, 6 years ago Lakshmi's age
was thrice that of Priya. If Priya's present age is x then,
i) Find the present age of Lakshmi in terms of x.
ii) Find the ages of Priya and Lakshmi 6 years ago in terms of x.
iii) Find the present ages of Priya and Lakshmi (in years)?​

Answer 1

lakshmi age before 6 years

24-6=18

Priya age before 6 years

18 divided by 3=6

(i)x=18

Priya current age

6+6= 12

(ii) x=18 x=6

(iii)x=12 x=24

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Answer 2

a)The present age of Lakshmi be '3x+6'

b) Age of Priya 6 years ago = x-6

Age of Lakshmi 6 years ago = 3x

c) Present age of Priya = 9 years

Present age of Lakshmi = 33 years

Step-by-step explanation:

Let the age of Priya be 'x'

Let the present age of Lakshmi be '3x+6'

According to question,

Lakshmi is 24 years older than her daughter Priya, \

so, it becomes,

$3x+6-x=24\\\\2x+6=24\\\\2x=24-6\\\\2x=18\\\\x=\dfrac{18}{2}\\\\x=9$

i) Find the present age of Lakshmi in terms of x.

the present age of Lakshmi be '3x+6'

ii) Find the ages of Priya and Lakshmi 6 years ago in terms of x.

Age of Priya 6 years ago = x-6

Age of Lakshmi 6 years ago = 3x

iii) Find the present ages of Priya and Lakshmi (in years)?​

Present age of Priya = 9 years

Present age of Lakshmi = $3(9)+6=27+6=33\ yrs$

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Present age of rohit is two times the present age of mohit if the sum of their present age is 36 years then find their present ages​