Question

a two digit number is
4 times sum of digits.lt is Also equal to 3 times
the product of digits . find the numbers.​

Answer 1

Answer:

>> two digits, x & y

10x + y = the number

:

>> A two digit number is 4 times the sum of its digits

10x + y = 4(x+y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

>> divide both sides by 3

2x = y

>> " and twice the product of its digit."

10x + y = 2xy

>> Replace y with 2x

10x + 2x = 2*x*2x

12x = 4x^2

>> Divide both sides by 4x

3 = x

then

y = 2(3)

y = 6

:

>> the number = 36

:

>> You can confirm this in both statement:

36 = 4(3+6)

and

36 = 2(3*6)

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