X is a four-digit number. The ones digit is the largest single-digit number. The rens digit is 5 less than the hundreds
digit. The hundreds digit is 4 more than the thousands digit and thousands digit is 6 less than the ones digit. What is the number X?
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d c b a
Lets take ones digit as a, tens as b, hundreds as c, and thousands as d
Now, ATQ:
a = 9
b = c-5 (1)
c = d+4 (2)
d = a-6 (3)
Putting (3) in (2)
c = (a-6) + 4
c = a -2 (4)
Putting (4) in (1)
b = c + 5
b = (a - 2) - 5
b = a -7
Now, since we have all the variables in terms of a, and we have the value of a, we can substitute and solve:
a = 9
b = 9 - 7 = 2
c = 9 - 2 = 7
d = 9 - 6 = 3
So, the number is 3729
Hope this helped! Stay Safe & Stay Sanitized! <3
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