marrisaannechow marrisaannechow

01-07-2018
Mathematics

contestada

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

Respuesta :

konrad509 konrad509

01-07-2018

[tex]10x+y-(10y+x)=36\\ 10x+y-10y-x=36\\ 9x-9y=36\\ x-y=4\\\\ x,y\in\{1,2,3,4,5,6,7,8,9\}\\ \Downarrow\\ x=5,y=1\\ x=6,y=2\\ x=7,y=3\\ x=8,y=4\\ x=9,y=5 [/tex]

There are 5 such numbers - 51,62,73,84,95

Answer Link

Otras preguntas

Which of the following expressions is true?A. 4^3 • 4^4 = 4^12B. 5^2 • 5^3 > 5^5C. 3^2 • 3^5 = 3^10D. 5^2 • 5^4 < 5^8

Please can someone help me with this question I need help ASAP

Reread this text from paragraph 4 what effect is this text most likely to have on readers?

Subha’s name means “sweetly speaking.” Which literary device does her name illustrate?

The components of the human body. from organ systems to cell organelles, interact to maintain a balanced intemal environment. To successfully accomplish this ta

What causes drug abuse?

Help, please! I have only a few minutes longer- 20 points.

Which is a simple predicate in this sentence ? For a duck,he is very good dancer.

At a pizza shop, 80% of the customers order a pizza, 15% of the customers order a salad, and 10% of the customers order both a pizza and a salad. If a customer

1. Given the polynomial f(x) = (x – 4)3 (x + 3)2 (x – 9) a. Find the zeros of the expression, and their multiplicities b. At each zero, determine whether the gr