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# One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Three grand-kids, x,y,z; z is the eldest

"eldest child age is 3 times youngest child’s age"

z = 3x

"and eldest child’s age is two times of sum of other two children.:
z = 2(x+y)
z = 2x + 2y
Replace z with 3x
3x = 2x + 2y
3x - 2x = 2y
x = 2y;

All the best.

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