Currently, the sum of the ages of Yumi, Rana and Victoria is 42 years. Four years ago, the sum of the ages of Rana and Victoria was equal to the current age of Yumi. What is Yumi's current age?
let Yumi's age be =x, Rana's age be y and Victoria's age be zso the sum of age currently should be x+y+z = 40also given is 4 years ago, so 4 years ago, age of Yumi was = (x-4) year oldRana was = (y-4) year oldVictoria was = (z-4) year old
the sum of the ages of Rana and Victoria was equal to the current age of Yumi.so, current age of yumi = four years ago the sum of the ages of Rana and Victoriai.e. X = (y-4)+(z-4)or, x = y+z-4-4since, x+y+z=40 as derived earlier, so y+z = 40-xputting the value of y+z in the above equation,x=40-x-8or, 2x = 32or, X =32/2 = 16so Yumi's Current age is 16 years old.Please best my answer if it was helpful to you. I have tried to explain in as much detail as possible :)
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