Question

The sum of the Digit of two digit number is 15. The number obtained by interchanging the digit exceeds the given number by 9. Find the number.

Answer 1

Hii friend,

Let the number = XY

Therefore,

X + Y = 15........(1)

X = 15-Y.......(2)

Value of XY = 10X + Y

Again Number obtained by interchanging the digit = YX

Value of YX = 10Y + X

By the given condition,

=>(10Y +X) - (10X + Y) = 9

=> 9Y +9X = 9 = Y - X = 1......(3)


Adding equation (1) and (3)

X+ Y = 15

-X +Y = 1
___________

2Y = 16

Y = 16/2 = 8

Therefore,

X = 15-Y => 15-8 = 7

Required number = XY = 78


HOPE IT WILL HELP YOU..... :-)

Answer 2

Answer:

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