Question

Amirah is 4 years older than Priya and Shirley is 2 years younger than Priya. if the son of their ages is 47 find their respective ages​

Answer 1

Answer:

Appropriate Question :-

• Amirah is 4 years older than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47. Find their respective ages.

Given :-

• Amirah is 4 years older than Priya and Shirley is 2 years younger than Priya.
• The sum of their ages is 47.

To Find :-

• What is their respective ages.

Solution :-

Let,

$\mapsto \bf{Priya's\: age =\: x\: years}$

$\mapsto \bf{Amirah's\: age =\: (x + 4)\: years}$

$\mapsto \bf{Shirley's\: age =\: (x - 2)\: years}$

According to the question,

$\implies \sf x + (x + 4) + (x - 2) =\: 47$

$\implies \sf x + x + 4 + x - 2 =\: 47$

$\implies \sf x + x + x + 4 - 2 =\: 47$

$\implies \sf 2x + x + 4 - 2 =\: 47$

$\implies \sf 3x + 4 - 2 =\: 47$

$\implies \sf 3x + 2 =\: 47$

$\implies \sf 3x =\: 47 - 2$

$\implies \sf 3x =\: 45$

$\implies \sf x =\: \dfrac{\cancel{45}}{\cancel{3}}$

$\implies \sf\bold{\purple{x =\: 15}}$

Hence, their respective ages are :

❒ Age Of Priya :

$\longrightarrow \sf Age\: of\: Priya =\: x\: years$

$\longrightarrow \sf\bold{\red{Age\: of\: Priya =\: 15\: years}}$

❒ Age Of Amirah :

$\longrightarrow \sf Age\: of\: Amirah =\: (x + 4)\: years$

$\longrightarrow \sf Age\: of\: Amirah =\: (15 + 4)\: years$

$\longrightarrow \sf\bold{\red{Age\: of\: Amirah =\: 19\: years}}$

❒ Age Of Shirley :

$\longrightarrow \sf Age\: of\: Shirley =\: (x - 2)\: years$

$\longrightarrow \sf Age\: of\: Shirley =\: (15 - 2)\: years$

$\longrightarrow \sf\bold{\red{Age\: of\: Shirley =\: 13\: years}}$

${\footnotesize{\bold{\underline{\therefore\: The\: age\: of\: Priya, Amirah\: and\: Shirley\: is\: 15\: years\:, 19\: years\: and\: 13\: years\: respectively\: .}}}}$

Answer 2

$\large† \bold{ \underline {Question}}$

Amirah is 4 years older than Priya and Shirley is 2 years younger than Priya. If the sun of their ages is 47 find their respective ages.

$\:$

$\large† \large \bold {\underline{Solution}}$

• Priya 's age = 15 years
• Amirah's age = (15 + 4) = 19 years and
• Shirley's age = (x - 2) = 13 years

$\:$

$\large† \bold{\underline{Step-by-step \: explanation:}}$

Let Priya 's age = x years

Amirah's age = (x + 4) years

Shirley's age = (x - 2) years

$\:$

According to question,

$\qquad → \tt \: x(x + 4) + (x - 2) = 47$

$\qquad → \sf \: 3x + 2 = 47$

$\qquad → \tt \: 3x = 47 - 2$

$\qquad → \tt \: 3x = 45$

$\qquad → \tt {x = 15}$

$\:$

$\sf \: ⟶ Priya 's \: age = \red{ 15 \: years}$

$\sf \: ⟶Amirah's \: age = (15 + 4) = \red{ 19 \: years }$

$\sf \: ⟶Shirley's \: age = (x - 2) = \red{ 13 \: years}$

$\:$

$\bold \red{Celestial} \bold{Centrix}$