Question

Shalini was three times as old as her son two years ago. Two years hence, twice of her age will be equal to five times that of her son's age. Find their present ages.

Pls give me an answer using one variable ... Correct and fully explained answer I'll mark as Brainiest answer...

Answer 1

Answer:

shalini=38years , son=14 years

Step-by-step explanation:

let

two years ago

age of son be x and shalini be 3x

two years after present day

shalini=3x+4 ,. son=x+4

ATQ,

2(3x+4)=5(x+4)

6x+8. =5x+20

6x-5x. =20-8

x. =12

present age,

shalini=3x+2

=3×12+2

=36+2

=38years

his son=x+2

=12+2

= 14 years

Answer 2

Given : Shalini was three times as old as her son two years ago & Two years hence, twice of her age will be equal to five times that of her son's age.

Need To Find : Shalini's and her Son's Present age ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀

❍ Let's say , that the two years ago

• Shalini's son's age be x years & Shalini's age be 3x years i.e. Shalini was three times as old as her son.
• & Present age of Shalini and her son will be ( 3x + 2 ) years and ( x + 2 ) years , respectively.

⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀☆ Two years hence , their ages :

• Shalini's age will be = ( 3x + 4 ) years &
• Shalini Son's age will be = ( x + 4 ) years .

$\\\bigstar \:\underline {\pmb{\:\boldsymbol { According \:To\:The\:Question \:\::\:}}}$

• Two years hence, twice of her [ Shalini ] age will be equal to five times that of her son's age.

$\\:\implies \sf 2\:\Big\{ \:Shalini's\:Age\:\Big\}\:=\: 5\:\Big\{ \:Son's\:Age\:\Big\}\:\:$

$:\implies \sf 2\:\Big\{ \:3x + 4\:\Big\}\:=\: 5\:\Big\{ \:x + 4\:\Big\}\:\:$

$:\implies \sf \:\Big\{ \:6x + 8\:\Big\}\:=\: \Big\{ \:5x + 20\:\Big\}\:\:$

$:\implies \sf \:6x + 8\:= \:5x + 20\:\:\:$

$:\implies \sf \:6x\:-\:5x\: = \:20 - 8 \:\:\:$

$:\implies \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:12\:yrs\:}}}}}\:\bigstar \:$

Therefore,

• Present age of Shalini is , ( 3x + 2 ) = ( 3(12) + 2 ) = 38 years &
• Present age of her son is , ( x + 2 ) = ( 12 + 2 ) = 14 years .

$\\\therefore \underline {\sf Hence, \:Present \:age \:of \:Shalini \:and \:her \:son \:are\:\pmb{\sf 38\:yrs \:\&\:14\:yrs\:}\:,respectively \:.}$