Tom Dick and Harry

Algebra Level 5

Johnson left Rs.100000 with the direction that it should be divided in such a way that this minor sons Tom Dick and Harry aged 9, 12 and 15 years should receive equally after attaining the age 25 years. The rate of interest being 3.5% , how much each son receive after getting 25 years old?


The answer is 51947.51.

Dhara Jogi by dhara jogi , 24, India

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2 solutions

Venture Hi
Oct 1, 2014

(((((100000(1+0.035)^10-x)(1+0.035)^3)-x))(1+0.035)^3)-x)=0

9 Helpful 0 Interesting 0 Brilliant 7 Confused

how explain

aasif shaikh - 6 years ago

Explain it

Venkey Achanta - 3 years ago
Tristan Goodman
Mar 16, 2020

Let X, Y and Z be the initial amounts the sons get, and the interest rate (1.035) be A.

X+Y+Z=100000

X(A^10)=Y(A^13)=Z(A^16): since 10, 13 and 16 are the respective number of years the sons will need to wait before they turn 25.

Therefore Y=X/(A^3) and Z=X/(A^6) after cancelling extraneous factors of A.

Plugging these results into X+Y+Z=10000 allows you to solve for X, which is sufficient to find the answer as X(A^10)

0 Helpful 0 Interesting 0 Brilliant 3 Confused

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