Brainteasers

10th September 2004 at 01:00
Age 6 to 8

Ages and ages

Jade has an older sister, Ella, and a younger brother, Daniel. They all go to school.

Daniel's age divides exactly by 3.

Ella's ages divides exactly by 3.

This time next year, Daniel's age will divide exactly by 4, and Ella's age will divide exactly by 4.

How old are Ella and Daniel now?

Age 9 to 14

Seventy-five

In how many different ways can 75 be expressed as the sum of two or more consecutive integers?

75

SOLUTIONS Ages and ages Daniel is 3 this year and 4 next year. Ella is 15 this year and 16 next year.

Seventy five 75 can be expressed as the sum of two or more consecutive integers in 5 different ways: 37+38; 24+25+26; 13+14+15+16+17; 10+11+12+13+14+15; 3+4+5+6+7+8+9+10+11+12.

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