what is the ratio whose terms differs by 40and measure of which is 2/7
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Answer:
a=16
b=56
Step-by-step explanation:
Let's call our terms A and B.
We know that they differ by 40, and we can express this as B - A = 40 , which we can rearrange to be B = A + 40 (this will be useful later).
We also know that the ratio is equivalent to 2/7 , or A/B = 2/7 , which we can rearrange to be 7A = 2B. Isolating B gives us B = 3.5A
Substituting the second equation into the first gives us
3.5A = A + 40
2.5A = 40
A = 16
B = 56
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