Question

is 5:7. Find the numbers.
9. The sum of the digits of a 2 digit number is 15. If the number formed by reversing the digit is 27 more then the
original number, find the original number.
10 Anurse contains 25 naise coins and 50 naise coins The total amount in the nurse is 50 If the number of 50​

Answer 1

Answer:

Step-by-step explanation:

let 10x + y be the required number

equation 1

     x + y = 15

or, x = 15 - y

equation 2

       (10y + x) - 27= 10x + y

10y - y +x - 10x = 27

9y - 9x = 27

(y - x) = 27/9 = 3

subustuting the value of x of eqn 1 in eqn 2,

y - (15 - y) = 3

y- 15 + y = 3

2y = 18

y = 9

Subustuting value of y in equation 1

x + y = 15

x = 15 - 9

x = 6

:- The original number is 10x + y = 10*6 + 9 = 69.

Checking,

putting value of x and y in equation 1 and 2

x + y = 15

6 + 9 = 15

15 = 15,, True

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

(10*9 + 6) - 27 = 10*6 + 9

96 - 27 = 60 +9

69 = 69,, true

Hope you understood.

Thanks,

Roshan Gautam,