CBSE BOARD X, asked by bindujayant, 10 months ago

Seven times a two digit number is equal to the number obtained by reversing the order of its digits. If the difference of the digits is 3, find the number

Answers

Answered by LakshanaS
1

Answer:

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Answered by BendingReality
4

Answer:

36

Step-by-step explanation:

Let the unit digit be a and tenth unit be b .

So , number = 10 b + a

It's said number is seven times is equal to reversing the order of its digit.

= > 7 ( 10 b + a ) = 4 ( 10 a + b )

= > 70 b + 7 a = 40 a + 4 b

= > 66 b = 33 a

= > a = 2 b ... ( i )

Also given numbers' difference is 3 .

a - b = 3  ( ii )

From ( i ) and ( ii ) we get :

a b - b = 3

b = 3

= > a = 6

Hence number = > 30 + 6

= > 36.

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