A man left one-third of his property to his son, one-fourth to his daughter and the remaining rupees 20000 to his wife. How much

Question

CaHeK987 [17]

3 years ago

15

A man left one-third of his property to his son, one-fourth to his daughter and the remaining rupees 20000 to his wife. How much

money did the man leave?
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Mathematics

2 answers:

fredd [130] · Answer 1 · 2022-10-26T01:56:56+03:00

fredd [130]3 years ago

6 0

Answer:

₹48,000

Step-by-step explanation:

Let the money with the man = ₹ x

Share given to his son = $\frac{1}{3}x$

Share given to his daughter = $\frac{1}{4}x$

Share given to his wife = ₹ 20000

Total money = ₹ x

$x-\dfrac{1}{3}x-\dfrac{1}{4}x=20000\\\\ \dfrac{1*12}{1*12}x-\dfrac{1*4}{3*4}x-\dfrac{1*3}{4*3}=20000\\\\\dfrac{12}{12}x-\dfrac{4}{12}x-\dfrac{3}{12}x=20000\\\\\dfrac{12-4-3}{12}x=20000\\\\\dfrac{5}{12}x=20000\\\\x=20000*\dfrac{12}{5}\\\\$

x = 4000 * 12

x = ₹48,000

Tasya [4] · Answer 2 · 2022-10-25T23:43:48+03:00

Tasya [4]3 years ago

4 0

Answer:

48000 rupees

Step-by-step explanation:

1/3+1/4=7/12. This means that the 20000 rupees are 5/12 of his whole fortune. Therefore, 20000÷5×12=48000 is the left money.