En el salón de Teresa, los alumnos midieron su estatura; Jesús midió 1.4m, Raúl 1m con 46cm, Teresa 150cm y Juanita 4/5 de la altura de Teresa y 15cm más ¿Quién es el más bajito?

DADDY HUMP ME A YE

9514 1404 393

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

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Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625