Question 1200681
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In 2005, Jenny's age is twice of Beth's age. What is Beth's age in 2023 if Jenny is 24 more than half of Beth's age?

Let Beth's age, in 2023, be B
Then Jenny's, in 2023 = {{{B/2 + 24}}}
Eighteen years before, in 2005, Beth was B - 18, while Jenny was twice that, or 2(B - 18), or 2B - 36
In 2005, Jenny was also, {{{matrix(1,3, B/2 + 24 - 18, or, B/2 + 6)}}}
We then get: {{{matrix(3,3, 2B - 36, "=", B/2 + 6, 2B - B/2, "=", 6 + 36, 2B - B/2, "=", 42)}}}
              4B - B = 84 ----- Multiplying by LCD, 2
                  3B = 84
In 2023, Beth, or {{{highlight_green(matrix(1,6, B, "=", 84/3, "=", 28, years-old))}}}</pre>