diana and ben sitting at each end of a 7-meters-long seesaw. if diana weighs 420 n and jack 340 n. how far from the fulcrum should each of them sit to balance the seesaw?

If their distances are d and b, then

420d = 340b
d/b = 340/420 = 17/21
so if ben sits at the end of the seesaw (3 1/2 m from the fulcrum).
diana sits 17/21 * 7/2 = 17/6 = 2 5/6 meters from the fulcrum