Three numbers are in ratio 5:6:7. If the sum of the squares of those three numbers is 440 then find the sum of the three numbers.

A : B : C = 5x : 6x : 7x A^{2}+ B^{2}+ C^{2}= 25x^{2}+ 36x^{2}+ 49x^{2}= 110x^{2} => 110x^{2}= 440 => x = 2 => A + B + C = 5x + 6x + 7x = 18x = 18 ×2 = 36

- Find the third proportion of √ 2, √ 7 and √ 21.
- Ratio of number of book to number of pen sold by a shopkeeper is 23:15, respectively while ratio of number of pen to number of pencil sold by the same shopkeeper is 5:14, respectively. If price of each book, each pen and each pencil is Rs. 40, Rs. 20, and Rs. 10 respectively then revenue generated by shopkeeper is Rs. 21320. Find the number of pen sold by shopkeeper.
- The ratio of the monthly salary of Supriya to that of Mohini is 3 : 5. Supriya and Mohini both save 30% and 42% respectively of their monthly salaries respectively. Supriya invests `1/5` of her savings in PPF and Mohini invests` 3/7` of her savings in PPF. If Supriya and Mohini together saved Rs. 29700 in PPF, what is Mohini’s monthly salary?
- A sum of money is divided in the ratio of 5 : 6. If the larger part is 192. Find the smaller part.
- The ratio of the number of English books to Hindi books in a library shelf is 5:3. If 126 Hindi books are written by Pradeep, which constitutes 30% of the Hindi books, then find the difference between the number of English books and Hindi books in the shelf.
- A person distributes Rs. 61,600 among 11 men, 13 women and 3 children. If each woman receives four times as much as each children and each man receives 200% more than what a child receives, how much does each woman receive?
- A, B and C entered into a partnership by investing in the ratio of 6:3:4. At the end of the year, the total profit is in the ratio of 12:3:8. Find the ratio of period of time they invested in the business.
- Number of faculties in Physics and Biology in an institute is in the ratio of 5:8 respectively. If 60 more faculties join Physics, while 32 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together?
- The sum of three numbers is 178. If the ratio of the first to the second is 2:5 and that of second to the third is 7:8, then find the second number.
- The number of students in a school is 5600. If the ratio between boys to girls is (x+5) : (x+7), then find the value of x.

More Ratio and proportion Questions

×