To solve this problem, we first need to find a common ratio for b in both ratios.

1. Given a:b = 2:3 and b:c = 4:5, we can rewrite the second ratio as b:c = 12:15 to match the 'b' value in the first ratio.

2. Now we have a:b = 2:3 and b:c = 12:15.

3. From these ratios, we can deduce that a = 2, b = 3, and c = 15/12 = 1.25.

4. Now we can substitute these values into the ratio a+b:b+c to get (2+3):(3+1.25) = 5:4.25.

5. To simplify this ratio, we can multiply both sides by 4 to get 20:17.

So, the ratio a+b:b+c = 20:17.

Question

To solve this problem, we first need to find a common ratio for b in both ratios.

1. Given a:b = 2:3 and b:c = 4:5, we can rewrite the second ratio as b:c = 12:15 to match the 'b' value in the first ratio.

2. Now we have a:b = 2:3 and b:c = 12:15.

3. From these ratios, we can deduce that a = 2, b = 3, and c = 15/12 = 1.25.

4. Now we can substitute these values into the ratio a+b:b+c to get (2+3):(3+1.25) = 5:4.25.

5. To simplify this ratio, we can multiply both sides by 4 to get 20:17.

So, the ratio a+b:b+c = 20:17.

Knowee AI · Accepted Answer

To solve this problem, we first need to find a common ratio for b in both ratios.

1. Given a:b = 2:3 and b:c = 4:5, we can rewrite the second ratio as b:c = 12:15 to match the 'b' value in the first ratio.

2. Now we have a:b = 2:3 and b:c = 12:15.

3. From these ratios, we can deduce that a = 2, b = 3, and c = 15/12 = 1.25.

4. Now we can substitute these values into the ratio a+b:b+c to get (2+3):(3+1.25) = 5:4.25.

5. To simplify this ratio, we can multiply both sides by 4 to get 20:17.

So, the ratio a+b:b+c = 20:17.

If a:b = 2:3 and b:c = 4:5, then the ration a+b:b+c = ?