seven times a two digit number is equal to four times the no. obtained by reversing the order of digits and the sum of digits of no. is 3
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Answered by
2
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let one's digit of no. = x
and its tens digit=y
so number became= 10y+x
no. obtained by reversing its order= 10x+y
ATQ..
7 (10y+x)=4 (10x+y)
70y+7x=40x+4y
70y-4y=40x-7x
66y=33x
2y-x=0........(1)
and,,
second condition..
x+y=3.........(2)
by elimination method...
subtracting eq.(1) and (2)
y=3
put value of y in eq (1)
we get..
x=6
so number us 10y+x
10×3+6
36
Hope it helps you..
dynamo979422:
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Answered by
6
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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