The ratio of the ages of a father and son is 17 : 7. 6 years ago the ratio of the ages was three ratio one the father's present age is
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Answer:
Age of , father : son =17:7
Let age of father = 17x and 7x
Six years ago ages was 17x-6 and 7x-6 , and the ratio was 3:1
So, (17x-6)/(7x-6)=3:1
So, 3(7x-6)=1(17x-6)
Or, 21x-18=17x-6
Or, 21x-17x =18–6
Or, 4x=12
Or, x=12/4=3
Present age of father =17×3=51
Present age of son = 7×3=21
Step-by-step explanation:
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Answered by
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Answer:
Thanks for your question...
Your required answer :
- Ratio of father and son= 17 : 7
- Let the present age of father be = 17x
- Let the present age of son be = 7x
Now 6 years ago :
- Father's age = 17x - 6
- Son's age = 7x - 6
----→ Their ratio = 1 : 3
Now solving :
- ( 17x - 6 ) / ( 7x - 6 ) = 3 / 1
By cross multiplication :
- 3 ( 7x - 6 ) = 1 ( 17x - 6 )
- 21x - 18 = 17x - 6
- 21x - 17 x = -6 + 18
- 4x = 12
- x = 3
Now by putting the value of x :
→ Present age of father = 17 ( 3 ) = 51 years
→ Present age of son = 7 ( 3 ) = 21 years
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