Question

the sum of a two digit number
and the number formes de Interchan
ging digit is 88 if the sum of the sum and difference of the digits of the number is 8 what is the number (a) 44 (b)17 53 (d) 80
​

Answer 1

i think 53 is the correct answer

Answer 2

Answer:

answer is option(a) 44

Step-by-step explanation:

let the two digit number = 10x + y

A.T.Q

(10x + y) + (10y + x) = 88

10x + y + 10y + x = 88

11x + 11y = 88

divide by 11

x + y = 8 ------------(1)

(x + y) + (x - y) = 8

x + y + x - y = 8

2x = 8

x = 8/2

x = 4

put x in eq 1

x + y = 8

4 + y = 8

y = 8 - 4

y = 4

number is 10x + y

= 10 × 4 + 4

= 44 + 4

= 44