If the total weight of A and B is 120 kg and A weighs 30 kg more than B, what is the ratio of B's weight to A's weight?

To determine the correct answer regarding the ratio of B's weight to A's weight, we first need to express the relationship between A's and B's weights mathematically based on the information given.

Let’s define the weights:

• Let B's weight be represented as ( B ).

• Since A weighs 30 kg more than B, we can represent A's weight as ( A = B + 30 ).

According to the problem, the total weight of A and B combined is 120 kg. This can be expressed in an equation:

[ A + B = 120 ]

Substituting the expression for A into this equation gives:

[ (B + 30) + B = 120 ]

This simplifies to:

[ 2B + 30 = 120 ]

Next, we solve for B:

1. Subtract 30 from both sides:

[ 2B = 90 ]

2. Divide both sides by 2:

[ B = 45 ]

Now that we have B's weight, we can find A's weight:

[ A = B + 30 = 45 + 30 = 75 ]

Now we can compute the ratio of B’s