Question

The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers

Answer 1

X<y
y is 1 more than 2 times the smaler
y=1+2 times x
y=1+2x

3 times y is bigger than 5 times x by 10
3y=5x+10
subsitute
y=1+2x
3(1+2x)=5x+10
3+6x=5x+10
subtract 3 from both sides
6x=5x+7
subtract 5x from both sides
x=7
subsitute
y=1+2x
y=1+2(7)
y=1+14
y=15

x=7
y=15