Question

4. Find a 2-digit number if the sum of the digits is 10 and the digit in the tens place is 4 times the digit in the
units place.
5. The sum of the digits of a 2-digit number is 9. The number is 6 times the units digit. Find the number.
6. The sum of the digits of a 2-digit number is 13, and the difference between the number and that formed bt
reversing the digits is 27. Find the number.
7. A certain number between 10 and 100 is 8 times the sum of its digits, and if 45 be subtracted from it, the
digits will be reversed. Find the number.
8. The difference between a 2-digit number and the number obtained by interchanging the digits is 18. Find
the original number, if the ratio between the digits of a number are in the ratio of 3:5.​

Answer 1

Answer:

Step-by-step explanation:

4. Let the digit in tens place be x and ones place be y

According to the 1st condition,

x+y = 10. -(1)

According to the second condition,

x=4y. -(2)

Put 2 in 1

1= 4y+y=10

5y=10

y=2

Put y=2 in (2)

(2)= x=4*2

=8

Hence the number is 82