Question

Bradley thinks of a 3-digit number such that the product of the digits of the number is 14, and the one's digit is twice the hundreds digit?

Answer 1

Answer:

00000000000000000000

Answer 2

Answer:

The 3-digit number that Brady had thought is 172

Step-by-step explanation:

Let x, y and z be the hundreds tens and ones digit no. respectively.

Given,

z = 2x ⇒ eq 1

xyz = 14 ⇒ eq 2

substituting the value of x (equation 1) in eq. 2

xyz = 14

$x \times y \times (2x)$ = 14

2x²y = 14

x²y = 7

The possible value of x and y are 1 and 7 respectively

so z = 2x = 2(1) = 2

x = 1

y = 7

z = 2

Therefore,

The 3-digit number is 172

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