Question

Sum of two consecutive, number that are divisible by
7 is 343 Find the number​

Answer 1

${ \large{ \star{ \rm \: \: {Let \: \: the \: \: first \: \: number \: \: \dfrac{y}{7} }}}}$

${ \large{ \star{ \rm \: {Second \: \: number \: \: = \dfrac{y}{7} + 7}}}}$

${ \large{ \colon{ \implies { \sf{Their \: \: sum = 343}}}}}$

${ \large{ \implies{ \bf{ \dfrac{y}{7} + \dfrac{y}{7} + 7 = 343}}}}$

${ \large{ \implies { \bf{\dfrac{y + y + 49}{7} = 343}}}}$

${ \large{ \implies{ \bf{2y + 49 = 2401}}}}$

${ \large{ \implies{ \bf{2y = 2352}}}}$

${ \large{ \implies{ \bf{y = 1176}}}}$

${ \large{ \therefore{ \rm{first \: \: number = \dfrac{1176}{7} = 168} \: Ans}}}$

${ \large{ \therefore{ \rm{second \: \: number = 168 + 7 = 175} \: Ans}}}$