Question

A two digit number is 4 times the sum of its digits and is 16 more than the product of its digits find the number
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Answer 1

Answer:

anwer 48 or 25

Step-by-step explanation:

Let the number be 10x+y.

Now 10x+y = 4(x+y), or

10x+y = 4x+4y, or

6x = 3y, or

y = 2x …(1)

10x+y = 16+xy, or

10x+y-xy = 16 …(2)

Put the value of y from (1) in (2)

10x+2x-2x^2=16, or

2x^2–12x+16 = 0, or

x^2–6x+8=0

(x-4)(x-2) =0

So x =4 and y = 8 or x = 2 and y = 4.

The number is 48 or 24.