Question

the sum of the digits of atwo digit number is 16the number
obtained by introducing the digits is less by 18 than the original number find that two digit number​

Answer 1

Answer:

Explanation:

Case I : The sum of the digits of a two digit number is 10.

x + y = 16

x = 16 - y _____(a)

Case II : The number formed by reversing the digits is 18 less than the original number.

16x + y + 18 = 16y + x

16x - x + y - 16y = - 18

15x - 15y = - 18

15(x - y) = - 18

x - y = - 18/15

16 - y - y = - 2 [ from equation (a)]

- 2y = - 14

y = - 14/-2 = 7

When we substitute the value of y in equation (a) we get,

x = 16 - 7 = 9

The original number = 16y + x = 16 × 7 + 4 = 116

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