The difference of two numbers is 33. If the two numbers are in the ratio 5:2, then find the number
The sum of two numbers is 65. and the two numbers are in the ratio 6:7. Find the numbers,
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Answer:
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Answer:
Two numbers are in the ratio of 3:5 and their difference is 40. What are the numbers?
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From your question we infer the following equations:
x/y = 3/5
x-y = 40
Solve for x in the second equation:
x = y + 40
Now substitute for x in the first equation:
x/y = 3/5
x = (y+40)
(y+40)/y = 3/5
Multiply both sides by 5y to eliminate both denominators:
5(y+40) = 3y
Distribute the term to the parentheses on the left:
5y + 200 = 3y
Subtract 3y from both sides:
2y + 200 = 0
Subtract 200 from both sides:
2y = -200
divide by 2:
y = -100
Substitute for y in the other value of x:
x = y + 40
y = -100
x = -100 + 40
x = -60
So far we’ve found that y = - 100 and x = -60. Prove these are correct by substi
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Let the rational between two number be x
Two numbers are in the ratio of 3 : 5. Hence the two numbers are 3x and 5x
Their difference is 40, The difference of two numbers is 5x - 3x.
5x - 3x = 40
2x = 40
x = 40 / 2
x = 20
The rational is 20, hence the two numbers are
One number is 3x = 3 × 20 = 60
Other number is 5x = 5 × 20 = 100
Therefore two numbers are 60 and 100