56. In four more years, Prince's grandmother
will be six times as old as Prince was last
year. The sum of Prince's present age and
his grandmother's age is 60. Find the present
ages of both of them.
Answers
Answer:
Let the age of Prince age be x-1 and the age of his grandmother be 6(x-1).
B.T.Q,
x-1 + 6(x-1) = 60
x-1 + 6x-6 = 60
x+6x -1-6 =60
7x - 7 = 60
7x = 60+7
x = 67/7
= 6 4/7 Ans
Step-by-step explanation:
Given : In 4 more years grand mother’s age will be 6 times as old as the prince last year.
The sum of prince present age and his grand mother’s age is 6o.
To Find : the present age of both of them.
Solution:
Present age of Prince = P years
Present age of Grand mother = 60 - P year
Last year prince age =P - 1 years
in 4 years Grand mother age = 60 - P + 4 = 64 - P years
ATQ
64 - P = 6(P - 1)
=> 64 - P = 6P - 6
=> 70 = 7P
=> P = 10
Present age of Prince = 10 years
Present age of Grand mother = 50 year
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