Question

A two digits number is 4times the sum of the digits .it is also equal to3 times the product of digits .find the number

Answer 1

let the unit digit in two digit number is y and ten's digit is x
so the two digit number is 10x+y
ATQ.,
10x+y.=4(x+y)
10x+y=4x+4y
6x-3y=0
2x-y=0
y=2x-------(1)

10x+y=3xy
10x+2x=3x×2x
12x=6x^2
x=2------(2)
put (2)in (1)
y=4

so the number is 24 ...

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