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¶ When Saurav was born, his mother Lakshmi was 24 years old. When Saurav turned 50, his mother was still alive. In these 50 years how many times was Lakshmi’s age divisible by Saurav’s age?
*** Assume that the number that denotes the age of a person is always an integer.
a.6
b.7
c.8
d.12
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Answered by
15
Saurav = 0, Lakshmi = 24
Difference = 24 years old
Find the factors of 24:
24 = 1 x 24
24 = 2 x 12
24 = 3 x 8
24 = 4 x 6
⇒ Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
⇒ There are 8 factors
These are the Lakshmi's age that are divisible by Saurav's age:
1 + 24 = 25 ⇒⇒ check : 25 ÷ 1 = 25
2 + 24 = 26 ⇒⇒ check : 26 ÷ 2 = 13
3 + 24 = 27 ⇒⇒ check : 27 ÷ 3 = 9
4 + 24 = 28 ⇒⇒ check : 28 ÷ 4 = 7
6 + 24 = 30 ⇒⇒ check : 30 ÷ 6 = 5
8 + 24 = 32 ⇒⇒ check : 32 ÷ 8 = 4
12 + 24 = 36 ⇒⇒ check : 36 ÷ 12 = 3
24 + 24 = 48 ⇒⇒ check : 48 ÷ 24 = 48
Answer: (c) 8
Answered by
28
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