Question 1165969
let the weight of one gold bar equal x kilograms.


on one side, you have 3 gold bars, so the expression is 3 * x
on the other side, you have 1 gold bar + 10 kg, so the expression is x + 10


to be balanced, the weight on one side of the scale needs to be equal to the weight on the other side of the scale.


you get:
3x = x + 10
subtract x from both sides of this equation to get:
2x = 10
solve for x to get:
x = 5


each gold bar weights 5 kg.
one side of the scale = 3 * 5 = 15 kg.
the other side of the scale = 1 * 5 + 10 = 15 kg.
the scale is balanced.


your solution is that the weight of one gold bar is 5 kg.