Answer:
The number is either 95 or 59
Step-by-step explanation:
The two digit number would be;
(10a + b)
The reversal will be (10b + a)
The sum of the two is 154
(10a + b ) + (10b + a) = 154
11a + 11b = 154
11(a + b) = 154
a + b = 14 ••••••••(i)
The difference between the two digits is 4
Let’s have this as;
a - b = 4 ••••(ii)
from ii;
a = 4 + b
Substitute this into equation i
4 + b + b = 14
2b = 14-4
2b = 10
b = 10/2
b = 5
Recall;
a = b + 4
a = 5 + 4
a = 9
So we have the number as 95 or 59
