Question

Sam is 6 years older than Amy. If the sum of Sam’s and Amy’s ages is
less than 24, what can you say about Amy’s age?

Answer 1

$\large{\sf{let~age~of~Amy~be~x}}$

$\large{\sf{So,~Sam's~age~=~x+6}}$

$\large{\sf{Sum~of~ages~=~24}}$

$\large{\sf{So,~we~can~say}}$

$\large{\sf{x~+~x~+~6~=~24}}$

$\large{\sf{2x~=~24~-~6}}$

$\large{\sf{2x~=~18}}$

$\large{\sf{x~=~9}}$0

$\boxed{\fcolorbox{white}{white}{Age~of~Amy~is~9}}$

$\boxed{\fcolorbox{white}{white}{Age~of~Sam~is~15}}$

$\large\blue{\sf{Verification~÷~}}$

$\large{\sf{Sum~of~ages~should~be~equal~to~24}}$

$\large{\sf{15~+~9~=~24}}$

$\large{\sf{24~=~24}}$

$\large\orange{\sf{Hence~verified}}$