Dan is fourteen years older than Marge. Eight years ago, Dan was three times as old as Marge. Find their present age.

Question

Sanai Davies

Mathematics

26 September, 04:23

Dan is fourteen years older than Marge. Eight years ago, Dan was three times as old as Marge. Find their present age.

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Answers (1)

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Sophia · Answer 1

Marge's present age = 14; Dan's present age = 29

Step-by-step explanation:

Present age

Let Marge's present age be = M

Dan's present age [D] : 14 years elder than Marge = M + 14

8 years ago

Marge Age = M - 8

Dan's Age = D - 8 = (M + 14) - 8 = M + 6

{Given} : Dan's age = 3 times Marge's age

M + 6 = 3 (M - 8)

M + 6 = 3M - 24

6 + 24 = 3M - M

30 = 2M

M = 30/2

M = 15 [Marge's present age]

Dan's present age [D] = M + 14 = 29