Question

Two numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19.
Find the numbers .​

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Numbers \ are \ 5 \ and \ 2.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{Let \ the \ two \ numbers \ be \ x \ and \ y.}$

$\bold{According \ to \ first \ condition}$

$\bold{x-y=3...(1)}$

$\bold{According \ to \ second \ condition}$

$\bold{3x+2y=19...(2)}$

$\bold{Add \ eq(2) \ from \ eq(1)}$

$\bold{3x+2y=19}$

$\bold{+}$

$\bold{2x-2y=6}$

______________________________________

$\bold{5x=25}$

$\bold{x=\frac{25}{5}}$

$\bold{x=5}$

$\bold{Substitute \ x=5 \ in \ eq(1)}$

$\bold{5-y=3}$

$\bold{y=5-3}$

$\bold{y=2}$

$\bold\purple{\tt{\therefore{Numbers \ are \ 5 \ and \ 2.}}}$

Answer 2

Step-by-step explanation:

I hope it will help you......