HirePro Ages Quiz-1

Let Kamlesh’s present age be "x" years and Suresh’s present age be "y" years.
Then, according to the first condition,
x−10=3(y−10)=>x−3y=−20…..........(1)
Now, Kamlesh’s age after 10 years = (x+10)(x+10) years.
Suresh’s age after 10 years = (y+10)(y+10) years. (x+10)=2(y+10)=>x−2y=10......(2)
Solving (1) and (2),
we get x = 70 and y = 30
Kamlesh’s present age = 70 years and Suresh’s present age = 30 years.

Let Shivam’s age when he got married be x
x + 6 = 5/4 x
4x +24 = 5x
x = 24
Shivam’s age when he got married was 24 years
Shivam’s present age is 24+6 = 30 years
His brother is 6 years younger to him = 30 - 6 = 24 years.

Let present ages of Suman = w, Kajol= x, Rishi = y and Rohit = z ,
then w+x+y=40∗3=120..(i)
w+y+z=49∗3=147..(ii)
Subtracting (i) from (ii),
(w+y+z)−(w+x+y)=147−120,
z−x=27..(iii)
Given Rohan's age => z = 54, so from (iii),
x = 54-27 = 27

Let the present ages of Ram be 5x, Dinesh be 8x and Rahul be 7x
Eight years ago,
⇒ (5x-6) + (8x-6) + (7x-6) = 56
⇒ 20x - 18 = 56
⇒ x = 3.7 ≃ 4
Present age of Ravi = 9x = 9*4 = 36 years

Currently, the ratio of their ages is 5: 3. Suppose, their ages are: 5x and 3x.
Sarina’s age 4 years ago = 5x – 4
Varsha’s age after 4 years = 3x + 4
The ratio of Sarina’s age 4 years ago and Varsha's age after 4 years is 1: 2
Therefore, (5x - 4) / (3x + 4) = 1/2
Solving, we get x = 2
We are required to find the ratio between Sarina’s age 4 years hence and Varsha’s age 4 years ago.
Sarina's age: (5x + 4)
Varsha's age: (3x – 4)
Putting the value of x, we get:
(5x + 4) / (3x - 4) = 7/1 = 7:1

Let the father’s present age be X years
Father’s age 15 years ago = (X - 15) years
Gautam’s present age = 20% of (X - 15)
(X - 15) / 5 years
Gaurav’s present = 60% of (X – 10)
3(X – 10) / 5 years
(X – 15) / 5 + 3(X – 10) / 5 = 31
⇒ x – 15 + 3x – 30 = 155
⇒ x = 50

Present age of Amma= 15 (given)
Father’s age at the time of Amma’s birth= Twice her present age.
Therefore, her father’s age at present will be (15*2) + 15 = 45
Hence, the father’s age after five years will be, 45+5 = 50

Let us assume M’s age as x.
Then, Z’s present age will be = x+6
After 7 years = x+6+7 = 3(x-7)
X+13 = 3x – 21
2x = 34
X = 17
The present age of M is 17 years.

Let us take Sahiba’s age as x, Mihir’s age as y, and Ashay’s age as z.
Given, (x+y) = 14 + (y+z)
(x+y) - (y+z) = 14
x-z = 14 years
The difference between Sahiba and Ashay’s age is 14 years.

We are given that age ratio of Rajat: Priyal = 2: 3
Rajat’s age = 2x and Priyal ’s age = 3x
One year ago, their age was 2x and 3x.
Hence at present, Rajat's age = 2x +1 and Priyal 's age = 3x +1
After 5 years, Rajat’s age = (2x +1) + 5 = (2x + 6)
Priyal 's age = (3x +1) + 5 = (3x + 6)
After 5 years, this ratio becomes 4: 5. Therefore,
(2x+6) / (3x+6) = 4/5
10x + 30 = 12x + 24 ⇒ x = 3
Priyal‘s present age = (3x + 1) = (3x 3 + 1) = 10 years
Rajat's present age = (2x + 1) = (2x 3 + 1) = 7 years