What number is three less than a multiple of ten, two more than a perfect square and has two digits?

Question

What number is three less than a multiple of ten, two more than a perfect square and has two digits?

Explain your answer please!!

Answer 1

If it's two digits, then obviously the squared number has to be less than 10. I did random guess and check in my head.

27 is two more than the square of 5, 25.
27 is also 3 less than a multiple of ten, which is 30.

Answer 2

A number that is 3 less than a multiple of 10 must have 7 as its last digit. Subtract 2 from 7 and you get 5. The only square less than 100 that ends in 5 is 25. 25 + 2 = 27

Answer 3

Let N be the number

a. "has two digits" means
N = 10, 11, 12, ...., 99

b. "three less than a multiple of ten" means
N= 10 -3, 20 -3, etc, ... 100 - 3
or: 7, 17, 27, 37, ...97
i.e. the last digit is 7

c. "two more than a perfect square" means
N= 25 + 2, 36 +2, 49 +2, ..., 81 +2
or: N= 27, 38, ..., 83

The only 2-digit number satisfying all (3) conditions is 27
N=27

Answer 4

if it is less than e multiple of 10, it should have a 7.
it is two more than e square, so the square should have a 5,
the only numbers that after you square them, have a 5, aare thos with 5, so it should be 5,15,25,....
5^2 = 25
25+2=27

and 15^2 >100 so it won't have two digits

have fun ;)

Answer 5

3 less than a multiple of 10 ---- must end with a 7
7=5+2
Perfect squares ending in 5 --- 25, 225, 625, ....
The number is 27, 227, 627, ...

The number is 2 digits.
The number must be 27.

Answer 6

27 I basically all started with 2 and squared each and every quantity in my head and then utilized your standards. i'm specific there's a formula or set of equations to remedy for it yet I took the straightforward way.

Answer 7

27...
25 is two less than it..and is a sqare number.
Has two diget...
I just used trial and error.