Question

The sum of ages of rashmi and smita is 35 year .the rashmi is younger to smita by 5year find the ages

Answer 1

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

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• Sum of ages of rashmi and smita is 35 yrs.

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Their ages

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let 'x' be the age of Rashmi

$\:\:$

Let 'y' be the age of Smita

$\:\:$

$\purple{\underline \bold{According \: to \: the \ question :}}$

$\:\:$

$\purple\longrightarrow$ $\sf x + y = 35$ ---------(1)

$\:\:$

Also,

$\:\:$

$\purple\longrightarrow$ $\sf x = y - 5$

$\:\:$

$\underline{\bold{\texttt{Putting x = y - 5 in equation (1)}}}$

$\:\:$

$\sf \longmapsto y - 5 + y = 35$

$\:\:$

$\sf \longmapsto 2y = 40$

$\:\:$

$\sf y = \dfrac { 40 } { 2 }$

$\:\:$

$\red \dag \: y = 20$

$\:\:$

$\underline{\bold{\texttt{Putting y = 20 in equation (1)}}}$

$\:\:$

$\sf \longmapsto x + 20 = 35$

$\:\:$

$\red \dag \: x = 15$

$\:\:$

Hence,

$\:\:$

Rashmi's age = 15yrs

$\:\:$

Smita's age = 20yrs

$\:\:$

$\rule{200}5$