the sum of two digit number and the number obtained by reversing its digit is 154 if the digit differ from 4 find the number​

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

d is the answer

step-by-step explanation: