Question

Akram is twice as old as Shaziya. Five years ago his age was three times Shaziya's age. Find their present ages.​

Answer 1

Answer:

Given :-

• Akram is twice as old as Shariya.
• Five years ago his age was three times Shaziya's age.

To Find :-

• What is their present ages.

Solution :-

Let,

$\mapsto \bf Present\: Age_{(Shaziya)} =\: a\: years$

$\mapsto \bf Present\: Age_{(Akram)} =\: 2a\: years$

❒ 5 years ago their ages will be :

$\leadsto \sf Age_{(Shaziya)} =\: (a - 5)\: years$

$\leadsto \sf Age_{(Akram)} =\: (2a - 5)\: years$

According to the question,

$\bigstar$ Five years ago his age was three times Shaziya's age.

$\small\leadsto \bf \bigg\{Age_{(Akram)}\bigg\} =\: 3\bigg\{Age_{(Shaziya)}\bigg\}$

$\implies \sf 2a - 5 =\: 3(a - 5)$

$\implies \sf 2a - 5 =\: 3a - 15$

$\implies \sf 2a - 3a =\: - 15 + 5$

$\implies \sf {\cancel{-}} a =\: {\cancel{-}} 10$

$\implies \sf\bold{\purple{a =\: 10}}$

Hence, their required present ages are :

❒ Present Age Of Shaziya :

$\longrightarrow \sf Present\: Age_{(Shaziya)} =\: a\: years$

$\longrightarrow \sf\bold{\red{Present\: Age_{(Shaziya)} =\: 10\: years}}$

❒ Present Age Of Akram :

$\longrightarrow \sf Present\: Age_{(Akram)} =\: 2a\: years$

$\longrightarrow \sf Present\: Age_{(Akram)} =\: (2 \times 10)\: years$

$\longrightarrow \sf\bold{\red{Present\: Age_{(Akram)} =\: 20\: years}}$

${\footnotesize{\bold{\underline{\therefore\: The\: present\: age\: Shaziya\: and\: Akram\: is\: 10\: years\: and\: 20\: years\: respectively\: .}}}}$

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★ VERIFICATION ★

$\leadsto \sf 2a - 5 =\: 3(a - 5)$

By putting a = 10 we get,

$\leadsto \sf 2(10) - 5 =\: 3(10 - 5)$

$\leadsto \sf 20 - 5 =\: 3(5)$

$\leadsto \sf\bold{\green{15 =\: 15}}$

Hence, Verified.

Answer 2

Answer:

Given :-

• Akram is twice as old as Shaziya. Five years ago his age was three times Shaziya's age.

♧To find :-

• Find their present ages.

□Explanation :-

• Present age of Shaziya =x years
• Present age of Akram =2x years.

♧5 years ago:-

• Ages becomes,
• Age of Shaziya =x-5 years
• Age of Akram=2x-5 years.

♧It is 3 times more than Shaziya age,

• Age of Akram=3(Age of Shaziya)
• Now applying the values ,
• $2x - 5 = 3x - 15$
• $2x - 3x = - 15 + 5$
• $- x = - 10$
• $x = 10$

♧Therefore ,

• Required ages is ,
• Age of Shaziya =x=10 years
• Age of Akram= 2x=2×10=20 years.

♧Hope it helps u mate .

♧Thank you .