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The sum of the ages of Musa and Lawal is 28 yea... - JAMB Mathematics 2007 Question

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

A
14 years
B
20 years
C
12 years
D
16 years
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Correct Option: D

M + L = 28,

M : L = 600 : 800

= 3 : 4

(\frac{M}{L}) = (\frac{3}{4}) (\to) M = (\frac{3}{4})L

(\frac{3}{4})L + L = 28

(\frac{7L}{4}) = 28

L = (\frac{4 \times 28}{7})

= 16

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