Question

The difference between two positive integers is 75. The ratio of these integers is 1:4. Find the integers. 2. If three consecutive multiples of 11 by 2.​

Answer 1

Answer:

1. The difference between two positive integers is 75. The ratio of these integers is 1:4. Find the integers:

V2. If three consecutive multiples of 11 are multiplied by 2, 3 and 4 respectively and then added, the sun

le is 814. Find each of the multiples.

3. Three numbers are in the ratio 3: 4:5. If the sum of the largest and the smallest numbers exceeds the

third number by 64, find the numbers.

4. The denominator of a rational number is greater than its numerator by 5. If the numerator is increased

by 11 and the denominator is decreased by 14, the new number becomes 5. Find the original rational

number.

5. The sum of the digits of a two-digit number is 9. If the digits are interchanged, the number obtained

exceeds the original number by 27. Find the number.

6. The digit at the tens place of a two-digit number is four times that is the units place. If the digits are

reversed, the new number will be 54 less than the original number. Find the number.

7. Natasha thinks of a number and subtracts from it and multiplies the result by 9. The product now

obtained is 7 times the number she thought of. What is the number?

HOTS

8. The sum of the present ages of a father and son is 53 years. Four years ago, the father's age was foui

times the age of the son. Find their present ages.

9. At present, Ankit is twice as old as his son. In four years, he will be four times as old as what his soi

was 9 years ago. Find the present ages of both of them.

LINEAR EQUATIONS IN ONE VARIABLE 83

Answer 2

Answer:

25,100

Step-by-step explanation:

let common multiple be x

so numbers are 1x and 4x

4x-x=75

3x=75

$x = \frac{75}{3} = 25$

integers are 1×25 and 4×25

25,100