Question

Age of remya and double the age of sofi added together gives 28 thtee fourth of remya's age added to one fourth of sofi's age given 11 find the age of remya and the age of sofi?​

Answer 1

$\huge\bigstar\underline\mathtt{ANSWER:-}$

$\Large\star\sf\underline\purple{To\:Find:-}$

Current age of remya and sofia = ??

$\Large\star\sf\underline\pink{Solution:-}$

Let remya age be x and sofia age be y

ATQ to 1st statement :-

$\sf{2y + x = 28 --- ( i )}$

ATQ to 2nd statement

$\sf{3/4 x + 1/4y = 11}$

$\sf{3x + y / 4 = 11}$

$\sf{3x + y = 44 ------- ( ii )}$

Multiply eq ( i ) by 3

$\sf{6y + 3x = 84 ----- ( iii )}$

Subtracting ii from iii

$\sf{6y + 3x - 3x - y = 84 - 44}$

$\sf{5y = 40}$

$\sf{y =\frac{40}{5}}$

$\sf{y = 8}$

$\sf{y = 8}$

Putting value of y in eq i

$\sf{2y + x = 28}$

$\sf{2 × 8 + x = 28}$

$\sf{16 + x = 28}$

$\sf{x = 28 - 16}$

$\sf{x = 12}$

$\Large\star\sf\underline\green{Final\:Answer:-}$

• Therefore remya's age = x = 12 years
• Sofi's age = y = 8 years

Answer 2

$\Large\underline{\underline{\sf{ \color{magenta}{AnsWeR:-} }}}$

$\Large\star\sf\underline\purple{To\:Find:-}$

Current age of remya and sofia = ??

$\Large\star\sf\underline\pink{Solution:-}$

Let remya age be x and sofia age be y

ATQ to 1st statement :-

$\sf{2y + x = 28 --- ( i )}$

ATQ to 2nd statement

$\sf{3/4 x + 1/4y = 11}$

$\sf{3x + y / 4 = 11}$

Multiply eq ( i ) by 3

$\sf{3x + y = 44 ------- ( ii )}$

Subtracting ii from iii

$\sf{6y + 3x = 84 ----- ( iii )}$

$\sf{5y = 40}$

$\sf{y =\frac{40}{5}}$

$\sf{y = 8}$

$\sf{y = 8}$

Putting value of y in eq i

$\sf{2y + x = 28}$

$\sf{2 × 8 + x = 28}$

$\sf{x = 28 - 16}$

$\sf{x = 12}$

$\Large\star\sf\underline\green{Final\:Answer:-}$

• Therefore remya's age = x = 12 years
• Sofi's age = y = 8 years