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the sum of the present ages of rani and her father is 43 years . Six years hence, father will be 4 times as old as his daughter. Find their present ages​

Sagot :

reinhard10158

Step-by-step explanation:

r = age of rani

f = age of her father

r + f = 43

r = 43 - f

in 6 years both r and f with be increased by 6.

and so

f + 6 = 4(r + 6) = 4r + 24

f - 18 = 4r

and now we use the transformed first equation (r = 43 - f) in the second equation

f - 18 = 4(43 - f) = 172 - 4f

5f - 18 = 172

5f = 190

f = 190/5 = 38

r = 43 - f = 43 - 38 = 5

rani is currently 5 years old.

her father is currently 38 years old.

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