Problem On Ages Tips, Tricks And Shortcuts

Type 3:

Tips and Tricks to solve Problem Based on Age After K Years

Question 3.

Lalita is four times the age of Om. If after 3 years, she would be three times of Om, then additional after 3 years, how many time would be her age of Om?

A.) 2.5
B.) 3.5
C.) 2
D.) 3

Correct answer A

Explanation :

Let us assume Om’s age as s and Lalita’s age as 4s

Given, 4s + 3 = 3(s + 3)

= 4s + 3 = 3s + 9

s = 6

So, Om’s age is 6 and Lalita’s age is 24.

Therefore, after 6 years Lalita’s will be 30 and Om will be 12. Lalita will be 2.5 times elder.

Question 4 :

Present ages of Shikhar and Hardik’s are in the ratio of 3:4. The ratio of Bhuvan’s age after 5 years to Hardik’s age 1 year ago is 4 : 3 and four times the difference in ages of Hardik and Shikhar is one more than the age of Bhuvan. Find the average of the present ages of Shikhar and Hardik.

A. 20 years
B. 10 years
C. 14 years
D. 15 years

Answer:
Correct Option: C
Let Shikhar’s age = A, Bhuvan’s age = B, and Hardik’s age = C
Then, according to the question,
⇒ A/C = 3/4 …………….(i)
⇒ B + 5/ C-1 = 4/3 …………….(iI)
⇒ 4 × (C – A) = B + 1 ——————(iii)
After solving these equations,
⇒ A = 12
⇒ C = 16
Average of ages of Shikhar and Hardik = 12 + 16 / 2 = 14

Question 5 :

Vidyut Jamwal was three times Tiger’s age ten years ago, but he will be only twice as old in ten years. What is Vidyut’s present age?

A. 60 years
B. 70 years
C. 80 years
D. 90 years

Answer : 70 years
Explanation :
Let Vidyut’s present age be “x” years and Tiger’s present age be “y” years.
Then, according to the first condition,
X−10 = 3(y−10) => x−3y = −20………….(1)
Now, Vidyut’s age after 10 years = (x+10)(x+10) years.
Tiger’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
Vidyut’s present age = 70 years and Tiger’s present age = 30 years.