Math, asked by sunitha4563, 10 months ago

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,​

Answers

Answered by guptasant72
3

Answer:

Refer to the attachment

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Answered by tanaya2207
3

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

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