seven times a two digit number is equal to four times the number obtained by reversing the digits
Answers
Answer:
The number is 12
Explanation:
Information is insufficient but we can work this out by trial and error.
Let x be the digit in ones place of original number and let y be the tens place digit.
The number is 10x + y
The number obtained on reversing the digits is
10y + x
ATQ,
7(10x + y) = 4(10y + x)
70x + 7y = 40y + 4x
66x = 33y
2x = y
Digit in ones place is twice that of ones place. The options are 12, 24, 36 and 48.
As seven times the original number has to be four times that of original number with digits reversed, the only option is 12.
Verify
7*12 = 4*21
84 = 84 ✓
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