Original 6497

Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?

Correct answer:

a =  35
b =  42
c =  28
d =  49

Step-by-step explanation:

a=5/6 b a7=4/7 (b+7)  6a5b=0 7a4b=77  Pivot:Row1Row2 7a4b=77 6a5b=0  Row276 Row1Row2 7a4b=77 1.57b=66  b=1.5714285766=42 a=777+4b=777+4 42=35  a=35 b=42
b=42
c=a7=357=28
d=b+7=42+7=49



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: