Question

the sum of two numbers is 103. If the greater number is divided by the smaller number the quotient is 2 and the remainder is 10 find the number​

Answer 1

9514 1404 393

Answer:

31 and 72

Explanation:

Let x be the smaller number and y be the larger number. Then we have ...

x + y = 103 . . . . . sum is 103

y = 2x +10 . . . . . y/x is 2 remainder 10

Substituting for y, we get ...

x + (2x +10) = 103

3x = 93

x = 31

y = 103 -31 = 72

The two numbers are 31 and 72.