Question

8. In a 2 digit number the units digits is four times the tens digits and the sum of the digits is 10. find the number. (A) 2, 8, 82 (B) -2,-8, -28 (C) 28 (D) 82​

Answer 1

Answer:

If in a 2 digit number the units digit is four times the tens digit and the sum of the two digits is 10, then the two digit number is 28

Step-by-step explanation:

Let xy be the 2 digit number where y is the units digit and x is the tens digit

Given that the units digit is four times the tens digit

That is y= 4x

Given the sum of the two digits is 10

That is x+y=10

substitute for y as y = 4x

x+y=10

x+4x=10

5x=10

x=10/5

x=2

Therefore the tens digit is 2

The units digit y=4x

y=4*2

y=8

Therefore the units digit is 8

So the two digit number is 28