Question

Two numbers are in the ratio of 3:7. If 7 is added to each of them, the ratio becomes 11:21. Find the numbers.

Answer 1

Answer:

15 and 35

Please check the attached file for the steps.

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Answer 2

Step-by-step explanation:

Given - Two number are in ratio 3:7 and '7' is added to those numbers then the ratio is 11:21

suppose , first number be 3x

and second number be 7x

therefore, According to condition

$\frac{3x + 7}{7x + 7} = \frac{11}{21} \\ 21(3x + 7) = 11(7x + 7) \\ 63x + 147 = 77x + 77 \\ 77x - 63x = 147 - 77 \\ 14x = 70 \\ x = \frac{70}{14 } \\ x = 5$

first number =3x

=3×5

= 15

second number = 7x

=7×5

=35