kashyapawick kashyapawick
  • 23-02-2020
  • Mathematics
contestada

If M is a two digit number and N is obtained by reversing M, if M+N =132, how many values can M have?

Respuesta :

amna04352
amna04352 amna04352
  • 23-02-2020

Answer:

7

Step-by-step explanation:

Let M be a two digit number with x in the tens position and y in units:

M = 10x + y

Then N will have y in the tens position and x in units:

N = 10y + x

M+N = 10x + y + 10 + x = 132

11x + 11y = 132

11(x + y) = 132

x + y = 12

x and y are single digit whole numbers. Possible combinations are:

x = 3 y = 9

x = 4 y = 8

x = 5 y = 7

x = 6 y = 6

x = 7 y = 5

x = 8 y = 4

x = 9 y = 3

Values of M can be:

39, 48, 57, 66, 75, 84, 93

Which are 7

Answer Link

Otras preguntas

whats 9 divided by 1/3 ( show work please thx !)
Rewrite without paraentheses and simply (Y-2)^2
what is the acronym used to describe the order of operations? simplify the expression using the order od operations show work for partial credit. 3^2(5+(2-4)^2
mrs. warburton weighs her suitcases ready for holiday.It weighs 7.35kg she takes out shoes that weigh 2.6.How heavy is her suitcase now
The price p and the quantity x sold of a small​ flat-screen television set obeys the demand equation below. ​a) How much should be charged for the television se
plz help you have to find the angle marked x in each of these polygons
What is the factored form of the expression?Factor completely.15g^3+18g^2-10g-12
please, can soemone help with this?
Alvin is 10 years younger than Elga. The sum of their ages is 38 . What is Elga's age?
Things i can recycle: