Question

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 1

Answer:

8.let the present ages.of father be 'x' and son be 'y'.

Step-by-step explanation:

present age:x+y=53

four years ago:

x-4=4(y-4)

x-4=4y-16

simplify 1 and 2 eqtn..by any method

thus we get an answer .

x=40 y=13

Answer 2

Answer:

1.

25100

2.

778899

3.

486480

5.

36

6.

82

7.

3

8.

son=13years, Father=40years

9.

Son=20 years,Ankit=40years