Question

in a two digit number the sum of the two digits is 9.if 45 is subtracted from the number it's digits are reversed .find the number​

Answer 1

Answer:

72

Step-by-step explanation:

let the digits be x and y.

so the number becomes 10x+y

ATQ,

X+Y=9-----------(1)

CASE 2 AFTER INTERCHANGING THE DIGITS , THE NUMBER BECOMES 10Y+X

10X + Y - 45 = 10Y+X

10X+Y- 10Y - X = 45

9X - 9Y = 45

TAKING 9 COMMON

9(X - Y) = 45

X - Y= 45/9

X -Y = 5 ------------(2)

ELIMINATING THE TWO EQUATIONS

X+Y = 9

X-Y = 5

----------------

- + -

2Y = 4

Y = 4/2

Y = 2

PUTTING VALUE OF Y IN EQ 1

X+ 2 = 9

X= 9-2= 7

THEREFORE THE NUMBER BECOMES

10 (7)+ 2= 70+2= 72

HOPE IT HELPS YOU.

IF YOU LIKE IT PLEASE MARK IT AS BRAINLIEST.