Question

a man left one fourth of property to his son , one fifth of his property to his daughter and the remaining to his wife.if the wife share is 22000 , what was the worth of his total property?

Answer 1

$\huge\pink{\underline{\pink{\underline{\blue{\bigstar{\green{\mathbb{ANSWER}}}}}}}}$

Let Man's total properties be X

$son's\: share=\frac{1}{4} \\Daughter's \:Share=\frac{1}{5}\\ Let \:wife's\: Share\: be \:Y$

But Y=22,000

ALSO TOTAL SUM OF THESE SHARES MUST BE EQUAL TO$\blue{= X}</strong>$

Equating we get

$\frac{x}{5} +\frac{x}{4}+Y=X\\ But \:Y=22000\\\frac{x}{5} +\frac{x}{4}+22000=x\\\\ \frac{4x+5x}{20} =x-22000\\\\9x=20(x-22000)\\9x=20x-440000\\20x-9x=440000\\11x=440000\\x=\frac{440000}{11}\\ x=40,000$

Hope it helps