Question

the sum digit of two digit number is 15 if the new number formed by changing the place of number is grater than the original number by 9 find the original number​

Answer 1

Let the Digits be for once place = y

Let the Digits be for once place = ylet the Digits be for tens place = x

Let the Digits be for once place = ylet the Digits be for tens place = x

ATQ.

1st case

SUM OF DIGITS ---

SUM OF DIGITS --- x + y = 15

x = 15- y____________(1)

2nd case

10y+ x = 10x + y + 9

9y - 9x = 9

( taking 9 common)

y - x = 1__________(2)

putting value of x in equation 2nd from equation 1

y - (15 - y) = 1

y - 15 +y = 1

2y = 16

y = 8

putting value of y in equation 2 to get value of x

y - x =1

x = 7

number is = 10x + y = 70 + 8 = 78

#BAL

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