Question

a, b से 4 वर्ष बड़ा है तथा c से 3 वर्ष छोटा है उनकी वर्तमान आयु का योगफल 82 वर्ष है तो c की वर्तमान आयु क्या होगी?​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\bf{Questions:-}}}}}}$.

• a, b से 4 वर्ष बड़ा है तथा c से 3 वर्ष छोटा है उनकी वर्तमान आयु का योगफल 82 वर्ष है तो c की वर्तमान आयु क्या होगी?

$\large{\underline{\underline{\mathfrak{\bf{Solution:-}}}}}$.

Let,

• Age of A = x year

• Age of B = y year

• Age of C = z year

Given here

• A is 4 year older than b !

• A is 3 year younger than C !

• Total age of a , b and c = 82.

Now,

A/C to question

$\large{\boxed{\:x\:=\:y+4}}$

or,

$\large{\boxed{\:x-y\:=\:4}}$......(1)

And,

$\large{\boxed{\:x\:=\:z-3}}$

or,

$\large{\boxed{\:x-z\:=\:-3}}$......(2)

And,

$\large{\boxed{\:x+y+z\:=\:82}}$.....(3)

Now,

, By equation (1) ,

we get,

$\large{\boxed{\:y\:=\:x-4}}$.....(4)

Again, By equation (2) , we get

$\large{\boxed{\:z\:=\:x+3}}$.....(5)

Now,

Keep Value of y and z in equation (3),

$\implies\:(x)+(x-4)+(x+3)\:=\:82$

$\implies\:(3x-1)\:=\:82$

$\implies\:3x\:=\:82+1$

$\implies\boxed{\:x\:=\frac{83}{3}}$...(6)

Now,

keep value of x , in equation (4)

$\implies\:y\:=\frac{83}{3}-4$

$\implies\:y\:=\frac{83-12}{3}$

$\implies\boxed{\:y\:=\frac{71}{3}}$...(7)

Again, keep value of x in equation (5)

$\implies\:z\:=\frac{83}{3}+3$

$\implies\:z\:=\frac{83+9}{3}$

$\implies\boxed{\:z\:=\frac{92}{3}}$....(8)

$\large{\underline{\underline{\mathfrak{\green{\bf{Answer:-}}}}}}$.

• Age of A = $\frac{83}{3}\:year$

• Age of B = $\frac{71}{3}\:year$

• Age of C = $\frac{92}{3}\:year$

________________________

$\large{\underline{\underline{\mathfrak{\bf{Answer\:checking :-}}}}}$.

By equation (3) ,

• Total age of A,B, and C = 82

$\implies\:(x+y+z)\:=\:82$

Keep value of x, y and z

$\implies\:(\frac{83}{3})+(\frac{71}{3})+(\frac{92}{3})$

$\implies\:(\frac{83+71+92}{3})$

$\implies\:(\frac{246}{3}$

$\implies\:(82)$

Thats Proved.

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