Problem on Ages Quiz-1

Explanation:
We are given that age ratio of Rishabh pant: Prithvi shaw = 2: 3
Rishabh pant’s age = 2x and prithvi shaw’s age = 3x
One year ago, their age was 2x and 3x.
Hence at present, Rishabh pant's age = 2x +1 and prithvi shaw's age = 3x +1
After 5 years, Rishabh pant’s age = (2x +1) + 5 = (2x + 6)
prithvi shaw's age = (3x +1) + 5 = (3x + 6)
After 5 years, this ratio becomes 4: 5. Therefore,
\frac{2x+6} {3x+6} = \frac {4}{5}
10x + 30 = 12x + 24 ⇒ x = 3
prithvi shaw's present age = (3x + 1) = (3x 3 + 1) = 10 years
Rishabh pant's present age = (2x + 1) = (2x 3 + 1) = 7 years

Explanation:
Let us assume x years ago the ratio of their ages 3:2
At present: Salman Khan is 50 years and Akshay Kumar is 40 years
x years ago: Salman’s age = (50 – x) and Akshay's age = (40 – x)
Given, the ratio of their ages was 3:2
\frac{50 - x} {40 - x} = \frac{3} {2}
Solving, we get: x = 20
Therefore, the answer is 20 years.

Explanation:
Present age of the son be P, he was born P years ago.
The age of the man was: (55 - P).
His age when the son was born should be equal to \frac{1}{4} of p.
(55 - P) =\frac{1}{4 } P

P =44 years

Explanation:
Let the present age of Zaheer khan be 3x
Let the present age of Munaf patel be 4x

5 years back, Zaheer khan’s age = (3x-5) years
5 years back, Munaf patel’s age = (4x-5)

According to the question, (3x-5) : (4x-5) = 2:3

⇒\frac{3x-5}{4x-5} = \frac{2}{3}
⇒3(3x-5) = 2(4x-5)
⇒9x-15 = 8x-10
⇒x = 5

Therefore, Zaheer khan’s current age = 3×5 = 15 year

Explanation:
Let the age of Rohit Sharma be x

Let the age of Shikhar Dhawa be y

Let the age of Suresh Raina be z

Then, according to question,

(x+y) – (y+z) = 12

⇒x+y-y-z = 12

⇒x-z = 12

Thus, Suresh Raina is 12 years younger than Rohit Sharma.

Explanation:
Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

Video solution:

Explanation:
Let the age of Ranvir singh and Ranbir kapoor be denoted as A and B respectively.
Given that, A+B = 60 and A = 2B.

Solving, We get A = 40, B = 20.

Five years their ages will be 45 and 25, so the sum of their ages will be 70.

Explanation:
Let Lionel Mess's present age be x years.

Lionel Mess's age after 15 years = (x + 15) years.

Lionel Mess's age 5 years back = (x - 5) years

Then ATQ,

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

Hence,Lionel Mess's present age = x = 10 years.

Explanation;
Rajkumar Rao’s age = 3X and Pankaj Tripathi’s age = 5X

\frac{3X+9}{5X+9} = \frac{3}{4}

=> 4 (3X + 9) = 3 (5X + 9)

=> X = 3


Therefore, Pankaj Tripathi’s age = 15 years.

Explanation:
Let, Maala’s age = 4A and Kala’s age = 3A
Then 4A + 3A = 28
A = 4
Maala’s age = 16 years
and Kala’s age = 12 years
Proportion of their ages after 8 is = (16 + 8) : (12 + 8)
= 24 : 20
= 6 : 5

Video solution: