What are the numbers ?



110 GENERAL REVIEW

10. If 6 is taken from the difference of two numbers,
the remainder will be 2. If 4 is one of the numbers,
what is the other ?

11. If 10 is added to the difference between two num-
bers, the sum will be 6 more than the greater number,
which is 19. What is the less number?

12. If 10 is taken from the sum of two numbers, 8 will
be left. If 5 is one of the numbers, what is the other ?

13. The sum of two numbers is 16, and their difference
is 4. What are the numbers ?

Solution. — Since the difference equals the greater minus the less,
and the sum equals the greater plus the less, by adding the sum and the
difference we get twice the greater, minus the less plus the less, which
equals twice the greater. 16 + 4 = 20, twice the greater number; then,
the greater number is ^ of 20 = 10, and the less number is 10— 4 = 6.
14. The sum of two numbers is 26, and their difference
is 5. What are the numbers?

15. The sum of two numbers is 31, and the greater ex-
ceeds the less by 7. What are the numbers ?

16. Divide 15 cents between A and B, so that B may-
have 3 cents more than A.
