Question

A two digit number in general form is written as 10 a+b.
a) What are a and b?
b) If b=7, is 10 a+b an even or an odd number ? Write the general form.
c) By taking b = 7, write the general form of the number after reversing the digits.
d) Add the numbers obtained in step (b) and step (c). Is it a multiple of 11?

Please guys this is urgent!!!​

Answer 1

A two digit no can be written as 10a+b

1. ..where a stands for tens place and b stands for once place.
2. let b= 10× a+ 7 is will be a odd number because if a= 1 then 10× 1 + 7 = 17 is not divisible by 2 .
3. if b= 7 and the digits reversed then 10b+ a then general form is 10× 7 + a= 70+ a
4. 10a+7+70+a=11a+77. ( 11a+,77)÷11. =a+7 , yes the no. is divisible by 11.

Answer 2

Answer:

a) a is the digit in the tens place and b is the digit at the units place

b) if b = 7 then digit at units place is 7 which makes it an odd number

c) if b = 7 then the reverse of 10a + 7 = 70 + a

d) let us consider a = 2

     adding numbers obtained in (b) and (c), we get :

                         ( 10*2 + 7 )+( 10*7 + 2)

                         = 27 + 72 = 99 which is multiple of 11

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