One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child's age and oldest child's age is two times of sum of other two children. What is the age of eldest child
Answers
Answer:
let the ages be a,b,c ;a=youngest,c=eldest
Atq, a-b=3 _ eq1 , c=3a _eq2 , c=2(a+b) _eq3
c=3a putting this value of c in eq 3
=> 3a=2a+2b
=> a=2b _______eq4
now, putting a=2b in eq 1
=> 2b-b= 3
=> b=3
=> a=6
now putting a=6 in eq 2
=> c=6*3
=> c=18_______ans
Step-by-step explanation:
Answer:
15.
Step-by-step explanation:
One Grandfather has 3 grandchildren
a, b, & c
:
the difference between two children was 3 years.
b - c = 3
b = (c+3)
:
Her eldest grandchild was 3 times the youngest one
a = 3c
:
and the elder one 2 years more than the sum of the other two.
a = b + c + 2
replace b with (c+3); replace a with 3c
3c = (c+3)+ c + 2
3c = 2c + 5
3c - 2c = 5
c = 5 yrs is the youngest
then
a = 3(5)
a = 15 yrs is the eldest.