Two numbers are in the ratio 3:4 if 6be added to each terms of the ratio then the new ratio will be 4:5 then the numbers are
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Answer:
Two numbers are in the ratio 3:4. If 6 is added to each term of the ratio, there is an increase of 20% in the given ratio. What are the first and second number?
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Dear Aurang,
This is an obvious homework task.
I don’t mind helping someone with those, but they should at least explain what it is that they don’t understand.
To prevent you to copy - paste the answer, I HAVE DELIBERATELY INSERTED AN ERROR IN THE CALCULATIONS. The result is still correct.
x/y = 3/4 → 4x = 3y → 4x - 3y = 0 (1)
(x + 6)/(y + 6) = (3/4)*1,2 → (x + 6)*4 = (y + 6)*3,6 → 4x + 24 = 3,6y + 21,4 →
→ 4x - 3,6y = -2,4 (2)
By (1) - (2) we get:
0,5y = 2,4 → y = 4 and therefore x = 3
Check:
(3 +6)/(4 + 6) = 9/10 = 0,9
(3/4)*1,2 = 0,75*1,2 = 0,9