two numbers are in ratio 7:11. If 7 is added to each of the numbers, t

1.	two numbers are in ratio 7:11. If 7 is added to each of the numbers, the ratio becomes 2:3. Find the numbers. Please tell me i am stuck on this question
Answer» Answer: 49 and 77 Step-by-step EXPLANATION: The NUMBERS are in ratio 7:11 let the COMMON multiple of the numbers be x so the numbers will be 7x and 11x. According to second condition, ratio of 7x + 7 and 11x + 7 is 2:3 $\frac{7x + 7}{11x + 7} = \frac{2}{3}$ Solving the equation we get $3(7x + 7) = 2(11x + 7)$ Solving further, we get $x = 7$ Now, the original numbers were 7x and 11x 7x = 7 × 7 = 49 11x = 11 × 7 = 77 Verification: $\frac{49}{77} = \frac{7}{11}$ $\frac{49 + 7}{77 + 7} = \frac{56}{84} = \frac{2}{3}$