Question

the ratio of ages of preetham and anusha is 4:5 ,the product of their present ages is 1280 find the eum of the present ages​

Answer 1

Given :-

The ratio of ages of Preetham and Anusha is 4:5 , the product of their present ages is 1280

To Find :-

Their ages

Solution :-

Let,

Age of Preetham = 4x

Age of Anusha = 5x

4x × 5x = 1280

20x² = 1280

x² = 1280/20

x² = 64

x = √(64)

x = 8

Therefore

Age of Preetham = 4x = 4(8) = 32 years

Age of Anusha = 5x = 5(8) = 40 years

Answer 2

➳ Given :-

• The ratio of ages of Preetham and Anusha = 4 : 5
• Product of their present ages = 1280

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➳ To Find :-

• Their present ages = ?

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➳ Solution :-

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∓ Here, we will find their present ages :-

• Let, Age of Preetham be 4x
• And, Age of Anusha be 5x

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⠀⠀⠀⠀⠀$: \dashrightarrow \: \sf{4x \times 5x = 1280} \\ \\ : \dashrightarrow \: \sf{20\: {x}^{2} = 1280 } \\ \\ : \dashrightarrow \: \sf{ {x}^{2} = \cancel\frac{1280}{20} } \\ \\ : \dashrightarrow \: \sf{ {x}^{2} = 64 } \\ \\ : \dashrightarrow \: \sf{x = \sqrt{64} } \\ \\ : \dashrightarrow \: \sf \pink{ x = 8}$

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∴ Their Ages will be :-

• Age of Preetham = 4x = 4 × 8 = 32
• Age of Anusha = 5x = 5 × 8 = 40

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➳ Hence :-

• Preetham Age = 32 years .
• Anusha Age = 40 years .

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