A man forgot his ATM pin of 4 digit but he remember 4 things :-
a) first number is three times the third number.
b) sum of first and second number is 5.
c) fourth number is product of second and third.
d) sum of all 4 digits is 20.
Help Him To Find His ATM Pin Number
GIVE CORRECT ANSWER AND STEP BY STEP SOLUTION
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Explanation:
a) first number is three times the third number.
third no = x
first no. = 3x
b) sum of first and second number is 5.
c) fourth number is product of second and third.
y * x = w ( as fourth no.)
⇒ x + 3x + xy = 5
⇒ 4x + xy = 5
⇒x(4 + y) = 5
⇒divide both side by 4 + y ; y ≠ -4
⇒ y ≠ -4
First no =
15/4+y
third no. = 5/4+y
second no. = y
fourth no. = 5/4+y × y
5y/4+y
{(15/4+y) + y + (5/4+y) + ( 5y/4+y)} = 20
Multiply both side by 4+y
y = 15 , y = -4
since the equation is undefined for : -4
y = 15
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