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Find the ratio a:b, if it is given that a+b=4a

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2 Answers

3 votes

Final answer:

To find the ratio a:b given that a+b=4a, we rearrange the equation to find b=3a, and then simplify the ratio to get 1:3.

Step-by-step explanation:

To find the ratio a:b, given that a+b=4a, we first need to express b in terms of a. This can be done by subtracting a from both sides of the equation:

a + b - a = 4a - a

b = 3a

Now that we have b expressed as 3a, we can find the ratio of a to b:

a : b = a : 3a

As we can simplify the ratio by dividing both terms by a (assuming a is not zero):

a : b = 1 : 3

Therefore, the ratio of a to b is 1:3.

User Tupshin Harper
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5.1k points
5 votes

Answer:

1:3

Step-by-step explanation:

if a + b = 4a then b has to be 3a

(1) + (3) = 4(1)

(2) + (6) = 4(2)

it works no matter what you plug in for a

User Bigchao
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5.1k points