The number \( y \) is defined as the sum of the digits of the number \( x \) and \( z \) as the sum of the digits of the number \( y \). Let ' \( A \) ' be defined as the number of natural numbers \( x \) which satisfy the equation \( x+y+z=60 \) and let 'B' be defined as the number of natural numbers \( x \) which satisfy the equation \( x+y+z=84 \). Which of the following statements about \( A \) MENTAL APTITUDE and B is correct? MATHEMATICS

Question

The number \( y \) is defined as the sum of the digits of the number \( x \) and \( z \) as the sum of the digits of the number \( y \). Let ' \( A \) ' be defined as the number of natural numbers \( x \) which satisfy the equation \( x+y+z=60 \) and let 'B' be defined as the number of natural numbers \( x \) which satisfy the equation \( x+y+z=84 \). Which of the following statements about \( A \) MENTAL APTITUDE and B is correct? MATHEMATICS