Question

two digit number is seven times the sum of its digits and is also equal to 12 less
than three times the product of its digits. Find the number.
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Answer 1

Step-by-step explanation:

let the original number be10x+y

also 10x+y=7(X+y)

10x+y=7x+7y

10x-7x+y-7y=0

3x-6y=0

x-2y=0--------eq(1)

X=2y------------eq(2)

10x+y=3(xy)-12

10(2y)+y=3(2y×y)-12

20y+y=6y^2-12

6y^2-21y-12=0

6y^2-24y+3y-12=0

6y(y-4)+3(y-4)=0

(y-4)(6y+3)=0

y-4=0 or 6y+3=0

y=4 or y=-3/6

y=4 or y=-1/2

therefore y=4 and X=8

original number is 84