Question

a two digit number is such that the product of its digits is 35. If 18 is added to the number the digits interchange their places. Find the number?
plz answer fast plz.

Answer 1

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Answer 2

Let the tens nd ones units of required number be x & y .

Then xy = 35

Required number = 10x+y

Also,
( 10x+y ) +18= 10y +x
9x-9y = -18
9 (y-x) = -18 --------(1)
y-x = 2 .

Adding both e

putting y= 7 in (1)

7-x = 2
x= 5 .

Hence the required number is = 5×10+7.
= 57 ANS.


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