22. The ages of Ali and Atif are in the ratio 11:13. Five
year from now the sum of their age will be 58. What is
the current age of Atif?
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Ali's age after 6 years will be three sevenths of his father's age. Ten years ago the ratio of their ages was 1:5. What is Ali's father’s age at present?
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10 years ago:-
Let Ali’s age=x yrs. then father’s age=5 x yrs.
Present Ages:-
Ali’s age =(x+10) yrs.
Father’s age =(5x+10)yrs.
After 6 yrs :-
Ali’s age =(x+16)yrs.
Father’s age=(5x+16)yrs.
Accordingly:-
(x+16)=(3/7).(5x+16)
15x+48=7x+112
8x=64=> x=8
Present age of Ali’s father =5x+10=5×8+10
=40+10=50 years. Answer.
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