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Age-old problems

A. Lucy and Leroy have birthdays on the same day. On their birthday this year, Lucy said: "Leroy is four times as old as me. In three years' time, he will be three times as old as me."

How old will Leroy be when he is twice as old as Lucy?

B. Sam said to his friend: "Two days ago, Kate was still 10. Her 13th birthday will be next year."

When is Kate's birthday?

SOLUTIONS

Age old problems

A. This year Lucy is 6 and Leroy is 24.

After 3 years, Lucy will be 9 and Leroy will be 27.

After 12 years, Lucy will be 18 and Leroy will be 36.

B. Sam spoke to his friend on January 1.

Kate's birthday is December 31.

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