7. arithmetica, book 1 #2. to divide a given number into two having a given ratio. given number 60, given ratio 3 to 1. arithmetica, bokl #7. from the same required number to take away two given numbers, so that the remainders are in a given ratio given numbers 100 and 20. given ratio 3 to 1. the required number isx. 8. 9. arithmetica, book i #31. to find two numbers, having given their sum and the sum of their squares given sum 20 and sum of squares 208. let the two numbers be 10 +x and 10-x 10. find two numbers in a given ratio such that the difference of their squares is to the sum of the numbers in a given ratio ratios, respectively, are 3 to 1 and 6 to 1.