Raj’s age is thrice the age of Aryan. Find Aryan’s age if sum of their ages is 64. About the author Emery
Given : Raj’s age is thrice the age of Aryan & the Sum of their ages is 64 . Need To Find : The Aryan’s age . ⠀⠀⠀⠀ ⠀━━━━━━━━━━━━━━━━━━━⠀ ❍ Let’s Consider age of Aryan’s be x yrs . Given that , ⠀⠀⠀⠀⠀Raj’s age is thrice the age of Aryan. Therefore, Raj’s age is 3x yrs . ⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\:\:According \:\:\:To\:\:\:Question\: \::}}\\[/tex] The sum of their ages is 64 . [tex]\qquad \longmapsto \sf 3x + x = 64 \\ [/tex] [tex]\qquad \longmapsto \sf 4 x = 64 \\ [/tex] [tex]\qquad \longmapsto \sf x = \cancel {\dfrac{64}{4}} \\ [/tex] [tex]\qquad \longmapsto \frak{\underline{\purple{\:x = 16 yrs }} }\bigstar \\[/tex] Therefore, Aryan’s age is x = 16 yrs . Raj’s age is 3x = 3(16) = 48 yrs . Therefore, ⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Aryan’s \:age \: \:is\:\bf{16 \:yrs.}}}}\\[/tex] ⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀ Reply
[tex]\large\sf\underline{Given\::}[/tex] Rajs age is thrice the age of Aryan. Raj’s age + Aryan’s age = 64 [tex]\large\sf\underline{To\:find\::}[/tex] Aryan’s age = ? [tex]\large\sf\underline{Assumption\::}[/tex] Let us assume : Aryan’s age to be x So according to the question Raj’s age = 3 × x = 3x [tex]\large\sf\underline{Solution\::}[/tex] According to the question : Raj’s age + Aryan’s age = 64 Let’s substitute the values we have assumed [tex]\sf\longmapsto\:3x+x=64[/tex] [tex]\sf\longmapsto\:4x=64[/tex] Transposing 4 to the other side [tex]\sf\longmapsto\:x=\cancel{\frac{64}{4}}[/tex] ◎ [tex]\small\fbox\red{x\:=\:16}[/tex] Now let’s substitute the value of x in the assumed values : Aryan’s age = [tex]\small{\mathfrak\orange{16\:yrs}}[/tex] ★ Raj’s age = 3 × 16 = [tex]\small{\mathfrak\orange{48\:yrs}}[/tex] ★ _____________________________ [tex]\large\sf\underline{Verifying\::}[/tex] Raj’s age + Aryan’s age = 64 Let’s substitute the value that we got [tex]\sf\dashrightarrow\:48+16=64[/tex] [tex]\sf\dashrightarrow\:64=64[/tex] [tex]\small\fbox\blue{Hence\:Verified}[/tex] [tex]\dag\:\underline{\sf So\:the\:required\:age\:of\:Aryan\:is\:16\:yrs}[/tex] . _____________________________ !! Hope it helps !! Reply
Given : Raj’s age is thrice the age of Aryan & the Sum of their ages is 64 .
Need To Find : The Aryan’s age .
⠀⠀⠀⠀ ⠀━━━━━━━━━━━━━━━━━━━⠀
❍ Let’s Consider age of Aryan’s be x yrs .
Given that ,
⠀⠀⠀⠀⠀Raj’s age is thrice the age of Aryan.
Therefore,
⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\:\:According \:\:\:To\:\:\:Question\: \::}}\\[/tex]
[tex]\qquad \longmapsto \sf 3x + x = 64 \\ [/tex]
[tex]\qquad \longmapsto \sf 4 x = 64 \\ [/tex]
[tex]\qquad \longmapsto \sf x = \cancel {\dfrac{64}{4}} \\ [/tex]
[tex]\qquad \longmapsto \frak{\underline{\purple{\:x = 16 yrs }} }\bigstar \\[/tex]
Therefore,
Therefore,
⠀⠀⠀⠀⠀[tex]\therefore {\underline{ \mathrm {\:Aryan’s \:age \: \:is\:\bf{16 \:yrs.}}}}\\[/tex]
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
[tex]\large\sf\underline{Given\::}[/tex]
[tex]\large\sf\underline{To\:find\::}[/tex]
[tex]\large\sf\underline{Assumption\::}[/tex]
Let us assume :
So according to the question
[tex]\large\sf\underline{Solution\::}[/tex]
According to the question :
Raj’s age + Aryan’s age = 64
[tex]\sf\longmapsto\:3x+x=64[/tex]
[tex]\sf\longmapsto\:4x=64[/tex]
[tex]\sf\longmapsto\:x=\cancel{\frac{64}{4}}[/tex]
◎ [tex]\small\fbox\red{x\:=\:16}[/tex]
Now let’s substitute the value of x in the assumed values :
_____________________________
[tex]\large\sf\underline{Verifying\::}[/tex]
Raj’s age + Aryan’s age = 64
[tex]\sf\dashrightarrow\:48+16=64[/tex]
[tex]\sf\dashrightarrow\:64=64[/tex]
[tex]\small\fbox\blue{Hence\:Verified}[/tex]
[tex]\dag\:\underline{\sf So\:the\:required\:age\:of\:Aryan\:is\:16\:yrs}[/tex] .
_____________________________
!! Hope it helps !!