Question

The difference of two integers is 23. If the larger integer is divided by the smaller one, the quotient is 2 with a remainder of 1. What are the two integers?

A. 40 and 63
B. 45 and 22
C. 38 and 61
D. 30 and 53

Answer 1

Let the largest integer be x and the smallest be y.
x-y=23
If the larger integer is divided by the smaller one, the quotient is 2 with a remainder of 1 means the larger integer is 1 more than twice of the smaller integer. that is
x=2y+1
Nw solve the simultaneous eqns to find the numbers.

Answer 2

i dont know to do simultaneous eqns

Answer 3

x-y=23-(1)
Substitute x in (1) with 2y+1.
So nw (1) becomes 2y+1-y=23-(2)
Nw can u simplify (2)?

Answer 4

im so confused

Answer 5

can u simplify 2y+1-y=23?

Answer 6

no