Question

Solve the riddle:"My age is a multiple of 8 and 16 and it lies between 50 to 70 years.​

Answer 1

Answer:

64

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Answer 2

The required age is 64

Given:

"My age is a multiple of 8 and 16 and it lies between 50 to 70 years"

To find:

The given age

Solution:

Given age is a multiple of 8 and 16

Find the LCM or Least Common Multiple of 8 and 16

To find the LCM(8,16) write them as product of their Prime factors  

8 = 2 × 2 × 2

16 = 2 × 2 × 2 × 2  

LCM(8,16) = 2 × 2 × 2 × 2 = 16  

Since given age is lies between 50 to 70 years

Multiply 16 with 4 ⇒ 16 × 4 = 64

Therefore, The required age = 64

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