Question 129968
Call the larger number {{{a}}}
Call the smaller number {{{b}}}
{{{a - b = 15}}}
{{{b = a - 15}}}
{{{3a - 2b = 58}}}
{{{3a - 2(a - 15) = 58}}}
{{{3a - 2a + 30 = 58}}}
{{{a = 58 - 30}}}
{{{a = 28}}}
The larger number is 28
check:
{{{b = a - 15}}}
{{{b = 28 - 15}}}
{{{b = 13}}}
{{{3a - 2b = 58}}}
{{{3*28 - 2*13 = 58}}}
{{{84 - 26 = 58}}}
{{{58 = 58}}}
OK