a number of two digits exceeds four times the sum of its digits by 3 and it is increased by 18 on reversing the digits.find the number.
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Answered by
10
Answer:
35
Step-by-step explanation:
Let the number be 10y+x
Reversed number=10x+y
According to question
10y+x=4(x+y)+3
10y+x=4x+4y+3
6y-3x=3
2y-x=1.....(1)
10y+x+18=10x+y
9y-9x=-18
y-x=-2......(2)
From (1),x=2y-1
Put x in (2)
y-(2y-1)=-2
y-2y+1=-2
-y=-3
y=3
x=2(3)-1=5
x=5
Number=35
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