Question

12. Two numbers are in the ratio 7: 11. If 7 is added to each of the numbers, the ratio becomes 2: 3. Find the numbers. 13. Two numbers are in the ratio 5:9. On subtracting 3 from each, the ratio becomes 1 : 2. Find the numbers.​

Answer 1

Answer:

(12) Two numbers are in the ratio 7: 11. If 7 is added to each of the numbers, the ratio becomes 2: 3. The numbers is 49 and 77

Step-by-step explanation:

(12)

        Let the numbers be 7x and 11x

                            $\frac{7x+7}{11x+7} =\frac{2}{3} \\ \\ (7x+7)3=2(11x+7)\\ \\ 21x+21=22x+14\\ \\ 22x-21x=21-14\\ \\ x=7$

The number be

                         $7x = 7 .7= 4911x = 11 .7 = 77$