Question

Gujjubhai has forget the ATM pin number of his debit card

What he remembers is the following hints ......

Let's see how many of you can help him out

1) it's 4 digit number
2) 1st digit is Half of 3rd digit
3) 2nd and 3rd digit total is 8
4) 4th digit equals to multiplication of 1st and 2nd digit.
5) summation of all 4 digit equals to 12

Find out the Atm pin number

Answer 1

your answer us 4080

let the pin be a b c d

Given

1. a=c/2
2. b+c=8
3. ab=d
4. a+b+c+d=12

using 4

a+b+c+d=12

put given

• b+c=8
• a=c/2
• d=ab

c/2 +8+ab=12

(c+16/2)+ab=12

put from given

• a=c/2
• b=8-c

$c + 16 + 8c - c {}^{2} \div 2 = 12$

$9c - c {}^{2} = 24 - 16$

$c {}^{2} - 9c + 8 = 0$

$(c {}^{2} - 8c) - (c - 8) = 0$

$(c - 8)(c - 1) = 0$

we get c=8 or1

but since c/2=x therefore it can't be 1

c=8

using given

• x=c/2=8/2=4
• b+c=8

b=8-c

b=8-8=0

• d=ab

d=4×0=0

a b c d

4 0 8 0

Pin is 4080

plz mark me as brainliest

Answer 2

The ATM pin number is 4 0 8 0

Step-by-step explanation:

Let the ATM pin number be a b c d

Instruction 1 ⇒ a = c/2 → (equation 1)

Instruction 2 ⇒ b + c = 8 → (equation 2)

b = 8 - c → (equation 5)

Instruction 3 ⇒ ab = d → (equation 3)

Instruction 4 ⇒ a + b + c + d = 12 → (equation 4)

On substituting equation (1), (2) and (3) in equation (4), we get,

⇒ c/2 + 8 + ab = 12

⇒ c/2 + 8 + (c/2 × (8 - c)) = 12

⇒ c/2 + 8 + 4c - c²/2 = 12

⇒ c/2 - c²/2 + 4c = 4

⇒ c - c² + 8c = 8

⇒ 9c - c² - 8 = 0

⇒ c² - 9c + 8 = 0

⇒ (c - 8)(c - 1) = 0

⇒ c = 8 or 1

When "c = 1" is substituted in equation (1) then the value of a is in decimal which is not possible.

∴ c = 8

From equation (1) ⇒ a = 8/2 = 4

From equation (5) ⇒ b = 8 - 8 = 0

From equation (3) ⇒ d = 4 × 0 = 0

Thus, a b c d = 4 0 8 0