Question

The ages of hari and venu are in the ratio 5:7, four years the sum of their ages will be 56 years.what are their present ages

Answer 1

Correct Question:

• The ages of hari and venu are in the ratio 5:7, four years later the sum of their ages will be 56 years. What are their present ages?

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Given:

• Ratio of ages of Hari and Venu is 5:7
• Four years later sum of their ages will be 56 years.

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To find:

• Present age of Hari and Venu?

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SoluTion:

☯ Let the common ratio between Hari's and Venu's age be x.

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Therefore,

• Age of Hari = 5x years
• Age of Venu = 7x years

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After 4 years,

• Age of Hari will be = (5x + 4) years
• Age of Venu will be = (7x + 4) years

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${\underline{\sf{\bigstar\; According\;to\: Question\;:}}}$

After 4 years the sum of Hari and Venu age will be 56 years.

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$:\implies\sf (5x + 4) + (7x + 4) = 56$

$:\implies\sf 12x + 8 = 56$

$:\implies\sf 12x = 56 - 8$

$:\implies\sf 12x = 48$

$:\implies\sf x = \cancel{ \dfrac{48}{12}}$

$:\implies{\boxed{\frak{\pink{x = 4}}}}\;\bigstar$

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Therefore,

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• Hari's age, 5x = 5 × 4 = 20 years

• Venu's age, 7x = 7 × 4 = 28 years

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$\therefore\;{\underline{\sf{Hence,\; Present\;age\;of\;Hari\;and\;Venu\;is\;20\;years\;and\;28\; years\; respectively.}}}$