The ratio of the present ages (in years) of a father and…
The ratio of the present ages (in years) of a father and his son is 15 : 8. Six years ago, the ratio of their ages was 13 : 6. Find the present age of the father.
पिता और पुत्र की वर्तमान आयु का अनुपात 15 : 8 है। छह वर्ष पहले उनकी आयु का अनुपात 13 : 6 था। पिता की वर्तमान आयु ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
45 years
Solution
वर्तमान आयु का अनुपात = 15 : 8
मान लेते हैं:
पिता की आयु = $15x$
पुत्र की आयु = $8x$
6 वर्ष पहले:
पिता = $15x-6$
पुत्र = $8x-6$
दिया है:
$\frac{15x-6}{8x-6}=\frac{13}{6}$
$6(15x-6)=13(8x-6)$
$90x-36=104x-78$
$42=14x$
$x=3$
पिता की वर्तमान आयु:
$15\times3=45$
सही उत्तर: 45 years / 45 वर्ष
Similar Practice Questions
If ₹2,239 is divided among 269
If ₹2,239 is divided among 269 children such that each girl and each boy get...
A grocer mixes two varieties of tea worth ₹120/kg and ₹125/kg
A grocer mixes two varieties of tea worth ₹120/kg and ₹125/kg in a ratio to...
The ratio of the number of men and women in a factory…
The ratio of the number of men and women in a factory is 14 :...
A company placed an order for 20 high-end laptops and some quantity of standard desktops.
A company placed an order for 20 high-end laptops and some quantity of standard desktops....
Find the third proportional of $ (3 +\sqrt{2})$ and $ 2\sqrt{7} $
Find the third proportional of $ (3 +\sqrt{2})$ and $ 2\sqrt{7} $ $ (3 +\sqrt{2})$...
In a school, the ratio of boys to girls is 4:3, and the ratio of girls to teachers is 8:1. What is the ratio of students to teachers?
In a school, the ratio of boys to girls is 4:3, and the ratio of...
The salaries of A and B are respectively 40% and 70% more than the salary of C. What is the ratio of B’s salary to A’s salary?
The salaries of A and B are respectively 40% and 70% more than the salary...