Ratio between two numbers is 6:7 and the difference between them is 10. What are the two numbers?

George Morales

George Morales

Answered question

2022-10-31

Ratio between two numbers is 6:7 and the difference between them is 10. What are the two numbers?

Answer & Explanation

Sauppypefpg

Sauppypefpg

Beginner2022-11-01Added 23 answers

Call your two numbers x and y. We have
x : y = 6 : 7 x = 6 7 y | x y | = 10 | 6 7 y y | = 10 | 6 7 1 | | y | = 10 | y | = 70 y = 70  or  70 x = 60  or  60  respectively
Raiden Barr

Raiden Barr

Beginner2022-11-02Added 7 answers

If   x y = 6 7   then x = 6 k and y = 7 k .  
Indeed,   6 k 7 k = 6 7 .  
Now, y x = 7 k 6 k = k = 10.

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