Question

► Solve the following.
1. The ratio of the present ages of Radha and Meera is 2: 5. Six years hence, the ratio of their
ages will be 1:2. Find their present ages.
2. The ratio of the present ages of Aasha and Dhwani is 3 : 5. Four years hence, the ratio of
their ages will be 2 : 3. Find their present ages.
3. The ratio of two numbers is 2 : 3 and their sum is 100. Find those numbers.
4. The sum of two numbers is 80 and their ratio is 9 : 11. Find those numbers.
5. The denominator of a rational number exceeds its numerator by 6. If 1 is subtracted from
the numerator as well as the denominator, the value of the new rational number is -. Find
the original rational number.
6. The numerator of a rational number is 8 less than its denominator. If the numerator is
multiplied by 3 and 10 is added to the denominator, the new rational number is Find the
original rational number.
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Answer 1

Answer:

1. Radha's age = 2x

Meera's age = 5x

2x+6/5x+6 = 1/2

2(2x+6) = 1(5x+6)

4x+12 = 5x+6

4x-5x = 6-12

-1x = -6

x = 6

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