Question

1.75(10x+y) = (10y+x)​

Answer 1

Answer:

Let the number with two digits be 10x + y

Given, the sum of the digits is 15

=> x + y = 15 ...........1

Number formed by reversing the digits = (10y + x)

According to the question,

(10x + y) - (10y + x) = 27

=> 10x + y - 10y - x = 27

=> 9x - 9y = 27

=> 9(x - y) = 27

=> x - y = 27/9

=> x - y = 3 ..................2

Addaequation 1 and 2, we get

x + y + x - y = 15 + 3

=> 2x = 18

=> x = 18/2

=> x = 9

Put value of x in equation 1, we get

9 + y = 15

=> y = 15 - 9

=> y = 6

Therefore, the original number = 10(9) + 6

= 10 * 9 + 6

= 90 + 6

= 96

Answer 2

Step-by-step explanation:

1.75(10x+y)=(10y+x)

17.5+1.75y=10y+x

17.5x-x=10y-1.75y

17.4x=1.56y