Question

. It was Amit's and Priya's 12th Wedding Anniversary. Amit said, "When we got married, Priya was 3/4th of my age, but now she is 5/6th of my age". What are their present ages actually

Answer 1

amit's present age is 36
priya's present age is 30

Answer 2

Answer:

Amit's present age is 36 years  and Priya's present age is 30 years.

Step-by-step explanation:

Let the present age of Amit be x

Let the present age of Priya be y

It was Amit's and Priya's 12th Wedding Anniversary.

Amit said, "When we got married, Priya was 3/4th of my age,

12 years ago

Amit's Age = x-12

Priya's Age - y-12

So, A.T.Q

$y-12=\frac{3}{4}(x-12)$   --1

But now she is 5/6th of Amit's age

So, $y=\frac{5}{6}x$  -2

Substitute the value of y from 2 in 1

$\frac{5}{6}x-12=\frac{3}{4}(x-12)$

$\frac{5}{6}x-12=\frac{3}{4}x-9$

$\frac{5}{6}x-\frac{3}{4}x=12-9$

$\frac{10-9}{12}x=3$

$\frac{1}{12}x=3$

$x=36$

So, Amit's present age is 36 years

Priya's present age is $y=\frac{5}{6}x =\frac{5}{6} \times 36 =30$

Hence  Amit's present age is 36 years  and Priya's present age is 30 years.