Math, asked by VemugantiRahul, 1 year ago

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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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Answers

Answered by TooFree
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




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Answered by Anonymous
28
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