Question 176812
Call the larger nuber {{{y}}}
Call the smaller number {{{x}}}
given:
(1) {{{y + x = 42}}}
(2) {{{y = 3x + 10}}}
----------------
from (1)
(1) {{{x = 42 - y}}}
substitute in (2)
{{{y = 3*(42 - y) + 10}}}
{{{y = 126 - 3y + 10}}}
{{{4y = 136}}}
{{{y = 34}}}
and from (2)
(2) {{{y = 3x + 10}}}
{{{34 = 3x + 10}}}
{{{3x = 34 - 10}}}
{{{3x = 24}}}
{{{x = 8}}}
The numbers are 34 and 8