Find the number if eight times of its is added to its square, the sum so obtained is -16.

Find the number of eight-digit numbers the sum of whose digits is 4.

A two-digit number is seven times the sum of its digits. If each digit is increased by 2, the number thus obtained is 4 more than six times the sum of its digits. Find the number.

A two digit number is five times the sum if its digits. If 9 is added to the number, the digits interchange their positions. The sum of digits of the numbers is :

A two-digit number is 5 times the sum of its digits and is also equal to 5 more than twice the product of its digits. Find the number.

If three numbers are added , their sum is 2 . If two times the second number is subtracted from the sum of first and third numbers we get 8 and if three times the first number added to the sum of second and third numbers we get 4 . Find the numbers using matrices .

A 2-digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are Interchanged. The sum of digits of the number is