the numbers are in the ratio 5:7. their difference is 10. find the numbers
Answers
Two numbers are the ratio 5:7. Their difference is 10. What are the numbers?
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C. S. Sharma
Answered 1 year ago
Let the two numbers are, smaller number x and larger number y.
As per statement the two numbers difference is 10
y - x = 10
y = 10 + x.. Eq…1
Two numbers ratio is 5 : 7
Ratio of x and y is
x / y = 5 / 7
5y = 7x
y = 7x / 5….Eq..2
Now putting the value of y from Eq..2 to Eq..1
y = 10 + x
7x/5 = 10 + x
Cross multiplication
7x = 5 (10 + x)
7x = 50 + 5x
7x - 5x = 50
2x = 50
x = 50/2
x = 25
The smaller number is 25
Now putting the value of x in Eq..2 to get the value of y
y = 7x/5
y = 7 × 25/5
y = 7 × 5
y = 35
The larger number is 35
Answer the two numbers are smaller number 25 and larger number 35
Answer:
Let the numbers be 5x and 7x. So
7x-5x = 2x = 10, or x = 5.
The numbers are 35 and 25.
Step-by-step explanation:
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