Three fifths of number a is equal to two thirds of number B. the difference between number a and number B is 10. What are the numbers a and B

Three fifths of number a is equal to two thirds of number B. the difference between number a and number B is 10. What are the numbers a and B


Three fifths of number a is equal to two thirds of number B. the difference between number a and number B is 10. What are the numbers a and B
The difference between number a and number B is 10
Then, number a = number B + 10, or number a = number B - 10
Three fifths of a is equal to two thirds of B
Then, number a * 3 / 5 = number b * 2 / 3
That is, number a = number b * 10 / 9
If it is: a = B + 10,
Then, number B + 10 = number b * 10 / 9
The solution is that B = 90, a = B + 10 = 90 + 10 = 100
If it is: a = B - 10,
Then, number B - 10 = number b * 10 / 9
The solution is that number b = - 90, number a = number B - 10 = - 90 - 10 = -- 100
Therefore, the number a is 100 and the number B is 90, or the number a is - 100 and the number B is - 90



One fifth of the number a is equal to two fifths of the number B. the number a is in direct proportion to the number B?


A × 1 / 5 = B × 2 / 15
A: B = 2 / 15:1 / 5 = 2 / 3 (certain), so the two numbers of a and B are in positive proportion