1.
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

2.
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

3.
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

4.
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

5.
What is the sum of two consecutive even numbers, the difference of whose squares is 84?

6.
The sum of two number is 25 and their difference is 13. Find their product.

7.
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

8.
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

9.
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

10.
The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

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