Question

6. daniel's age is 7 more than three times his

daughter lucy's age. the difference between
twice daniel's age and five times lucy's age is
24. find the ages of daniel and lucy.
help pls

Answer 1

Lucy: 10

Daniel: 37

Explanation:

Let Daniel's age be d, and Lucy's age be l.

We can set up a system of equations.

d = 7 + 3l

2d-5l = 24

We can subsitute the value of d from the first equation into the second equation.

2*(7+3l)-5l = 24

Distribute:

14 + 6l - 5l = 24

Combine like terms:

l = 10

Plug this value back into the first equation:

d = 7 + 3*10

d = 37