On January 21 of this year, the first law requiring that drivers of automobiles have licenses went into effect. To learn the year, solve this puzzle. The two-digit number formed by my tens and units digits is the 12th prime number and is considered normal body temperature when measured in degrees Celsius. My tens digit is 33 1/3% of my hundreds digit. The sum of all of my digits is the same as the number of triangles that make up an icosahedron. What year am I? Explain.

Question

Mathematics

Amir

15 May, 16:42

On January 21 of this year, the first law requiring that drivers of automobiles have licenses went into effect. To learn the year, solve this puzzle. The two-digit number formed by my tens and units digits is the 12th prime number and is considered normal body temperature when measured in degrees Celsius. My tens digit is 33 1/3% of my hundreds digit. The sum of all of my digits is the same as the number of triangles that make up an icosahedron. What year am I? Explain.

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Answers (1)

Know the Answer?

Jaqueline Bailey · Answer 1

1937

Step-by-step explanation:

Let the digits of the number = xyzw

(a) 1st clue

Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ...

The twelfth prime number is 37, and normal body temperature is 37 °C.

zw = 37

z = 3

w = 7

(b) 2nd Clue

z = ⅓y Multiply each side by 3

y = 3z

= 3 * 3

= 9

(c) 3rd clue

An icosahedron has 20 triangular faces.

x + y + z + w = 20

x + 9 + 3 + 7 = 20

x + 19 = 20

x = 1

x = 1; y = 9; z = 3; w = 7

xyzw = 1937