seven times a two number digit number is equal to four times the no obtained by reversing the order of its digit i the difference between digit is 3 then ind the no
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7(10x+y)=4(10y+x)
70x+7y=40y+4x
66x=33y
2x=y
x=y/2 so x<y
y-x=3
2x-x=3
x=3
y=6
The number is 36.
70x+7y=40y+4x
66x=33y
2x=y
x=y/2 so x<y
y-x=3
2x-x=3
x=3
y=6
The number is 36.
Answered by
2
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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