A 2 digit number is such that thrice the sum of its digits is less than the value of the number by 8. When the digits are reversed the number increases by 9.
Find the number.

23

Step-by-step explanation:

Let "ab" represent the digits of the number.

"thrice the sum of its digits is less than the value of the number by 8"

The value of the number is 10a+b.

3(a+b) = (10a+b) - 8

3a+3b = 10a+b-8

7a-2b = 8

"When the digits are reversed the number increases by 9"

Value of "ba" = 10b+a

(10b+a) - (10a+b) = 9

9b-9a = 9

b-a = 1

b = a+1

7a-2(a+1) = 8

5a -2 = 8

a = 2

b = a+1 = 3

"ab" = 23

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

yes

step-by-step explanation: