Answer :
Nancy weighs 56.5kg and Bob weighs 46.5kg.
To find Nancy and Bob's weights, we can set up a system of equations. Let's represent Nancy's weight as N and Bob's weight as B. We know that Nancy weighs 10kg more than Bob, so we can write the equation N = B + 10. We also know that together they weigh 103kg, so the equation N + B = 103 can be formed.
Now we can solve the system of equations. We can substitute the value of N from the first equation into the second equation: (B + 10) + B = 103. Simplifying this equation, we get 2B + 10 = 103. Subtracting 10 from both sides gives us 2B = 93. Dividing both sides by 2, we find that B = 46.5.
Substituting this value of B back into the first equation, we can solve for N: N = 46.5 + 10, which gives us N = 56.5.
Therefore, Nancy weighs 56.5kg and Bob weighs 46.5kg.
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