Question 351722
First name your variables.
Let {{{A}}} be the smaller number.
Let {{{B}}} be the greater number.
Now translate the words into equations using your variables.
"greater is 1 more than twice the smaller"
1.{{{B=1+2A}}}
.
.
"Three times the greater exceeds 5 times the smaller by 10"
2.{{{3B=5A+10}}}
.
.
Substitute eq. 1 into eq. 2 for B, and solve for A.
{{{3(1+2A)=5A+10}}}
{{{3+6A=5A+10}}}
{{{highlight(A=7)}}}
Then from eq. 1,
{{{B=1+2(7)}}}
{{{B=1+14}}}
{{{highlight(B=15)}}}