Math, asked by sridevisen, 1 year ago

seven times a two digit number is equal to four times the number obtained by reserving the order of its digits. if the difference of the digits is 3, determine the number

Answers

Answered by stuti0821
0
hence the original number is 36 and the reversed number is 63
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Answered by BendingReality
1

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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