Question

a two digit number is 4 times the sum of its digit it is also equal to 3 times the product of digit find the number

Answer 1

Answer:24

Step-by-step explanation:

Let the two-digit number be written as AB, where A is not 0.

We can set up two equations from the given information

10A + B = 4(A+B)

10A + B = 3 * A * B

From 1) 10A + B = 4A + 4B so 6A = 3B and B = 2A

Using this in 2) gives 10A + 2A = 3 * A * 2A

Therefore 12A = 6A^2

rearranging gives 6A^2 - 12A = 0 and this can be written 6A ( A -2) = 0

From this A = 0 or A = 2

To have a two-digit number AB, A cannot be 0.

If A = 2, then B = 4, giving 24 as our two-digit number.

Checking this: 4 * (2+4)= 4 * 6 = 24 and 3 * 2 * 4 = 24