The ones digit of a number is 3 times the tens digit. if the digits are reversed, the new number is 18 more than the original number. find the original number.

Hence the original number is 13.

Step-by-step explanation:

Let us consider the ten's digit to be x.

so the one's digit will be 3x( as it was given the one's digit of a number is 3 times the ten's digit ).

so the number could be represented as x 3x   or it can also be represented as:  10x+3x=13x

after reversing the number the number becomes: 3x x

or it can also be represented as: 3x×10+x=30x+x=31x

now the new number is 18 more than the original number, that means:

31x=13x=18

18x=18

x=1

Hence the original number is 13.

and the reversed number is 31.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2