Bissoy.com
Doctors Medicines MCQs Q&A

Two whole numbers are given. If three times of larger number is divided by a smaller number, then 4 as quotient and 3 as the remainder are obtained. If seven times of smaller number is divided by a larger number, then 5 as quotient and 1 as the remainder are obtained smaller number is equal to

Two whole numbers are given. If three times of larger number is divided by a smaller number, then 4 as quotient and 3 as the remainder are obtained. If seven times of smaller number is divided by a larger number, then 5 as quotient and 1 as the remainder are obtained smaller number is equal to Correct Answer 18

Calculation:

Let the smaller number be x and larger number be y

According to the question,

⇒ 3y = 4x + 3

⇒ y = (4x + 3) × 1/3      …… (1)

According to the question,

⇒ 7x = 5y + 1

⇒ y = (7x – 1) × 1/5      …… (2)

From (1) and (2) we get,

⇒ (4x + 3) × 1/3 = (7x – 1) × 1/5

⇒ 4x/3 + 1 = 7x/5 – 1/5

⇒ 7x/5 – 4x/3 = 1 + 1/5

⇒ (21x – 20x)/15 = 6/5

⇒ x = 15 × 6/5

⇒ x = 18

∴ The smaller number = 18

Related Questions

If seven times the smaller number is divided by the larger one, we get 5 as quotient and 1 as remainder. Also, if three times the larger number is divided by the smaller one, we get 4 as quotient and 3 as remainder. Find the numbers.
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
Twice the larger of two numbers is three more than five times the smaller and the sum of four times the larger and three times the smaller is 71. What are the numbers?
The difference between two numbers is 3355. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number and larger number respectively ?
The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. Find the average of the two numbers. I) 6 times the smaller number is 4 more than 4 times the larger one. II) 1/2 of the smaller number is 3 more than 1/5 of the larger one. III) 2 times their difference is 2 less than the smaller number.
The sum of two numbers is 1522. On dividing the larger number by the smaller number, we get 4 as quotient and 27 as remainder. What is the remainder when smaller number is divided by 18?
Two whole numbers differ by 1495. When the larger number is divided by the smaller, the quotient is 8 and the remainder is 25. The sum of the two numbers is:
A number when divided by 14, the quotient is ‘x’ and the remainder is 7 and when ‘x’ is divided by 3, the quotient is 2 and the remainder is 20% of the sum of divisor and quotient. Find the number.
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. When the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?