Question

a man divided 9000 among his wife son and daughter the wife received twice as much as the daughter and the son received 1000 more than the daughter. how much did each receive

Answer 1

$\underline{\boxed{\bold{Question}}}$  

↠ A man divided 9000 among his wife son and daughter the wife received twice as much as the daughter and the son received 1000 more than the daughter. How much did each receive ?

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$\underline{\boxed{\bold{Important\;Information}}}$  

↠ If only one condition is given then we usually solve problem by expressing it in linear equation in one variable and then solve it.

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$\underline{\boxed{\bold{Given}}}$

↠ Total Amount = ₹9000

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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By the given condition,

Let's the amount received by daughter = x

∴ Amount received by wife = 2x

∴ Amount received by wife = x + 1000

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Now, Let's make equation and solve the problem.

$:\implies x + 2x + x + 1000 = 9000$

$:\implies 4x = 9000-1000$

$:\implies 4x = 8000$

$\boxed{:\implies x = 2000}$

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∴ Amount received by Wife = 2x = ₹4000

∴ Amount received by Daughter = x = ₹2000

∴ Amount received by Son = x + 1000 = ₹3000

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$\boxed{\bold{\bigstar\; Verification\; \bigstar}}$

Sum of total amount = ₹9000

$:\implies x + 2x + x + 1000 = 9000$

$:\implies 4000 + 3000 + 2000 = 9000$

$:\implies 9000 = 9000$

$\boxed{:\implies LHS = RHS}$

Hence verified.

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Hope this helps u.../

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