Math, asked by saksham154, 1 year ago

Seven times a two digit number is equal to four times the number obtained by

reversing the order of its digits. If the difference of the digits is 3, determine the

number

Answers

Answered by gaurang5
1
here is your answer
hope it helps
Attachments:
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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