Age Riddle

$4\times2+9\times3+x=2\times10+4+2x-20$ $8+27+x=20+4+2x-20$ $35+x=4+2x$ $x+31=2x$ $x=\boxed{31}$

The true riddle is what a "score" means 😁

(4 X 2) + (9 X 3) + x = (2 X 10) + 4 + 2x - 20

8 + 27 + x = 20 + 4 + 2x - 20 ( combine like terms)

35 + x = 24 + 2x - 20 (transpose)

x - 2x = 24 - 35 - 20 (perform the operation)

-x = 24 - 55 ( subtract)

-x = -31

x = 31

(4•2)+(9•3)+x=(2•10)+4(2•x)-20. (Starting Equation) (8+27)+x=24+2x-20. (Distribute on both sides; add the 4 to 20) 35+x=4+2x. (Subtract the 20 from 24; add 8 and 27) 35=4+x. (Subtract x from the left side) 31=x. (Subtract 4 from the right side)

(4 * 2) + (9 * 3) + x = (2 * 10) + 4 + (2 * x) - 20

8 + 27 + x = 20 + 4 + 2x - 20

35 + x = 4 + 2x

35 - 4 = 2x - x

31 = x

4 X 2+9 X 3+x=2 X 10+4+2x-20 =>35+x=4+2x =>x=31 therefore the age of the woman is 31 years

8+27+x=24-20

how does -20 come ?? and it would b better if the equation was not given

i have a doubt how -20 came in the right hand side

4x2 + 9x3 + X= 2x10 + 4+2X-20 -X -X 8+27= 20+4-X-20 +20 +20 55=24+x -24 -24 31=x