Tall men next door
next to my house live four brothers of different heights. their average height is 74 inches, and the difference in height between the first three men is two inches. The difference between the third and fourth man is six inches . Find the height of each person. Write the height from first person to fourth person in order and put a zero after each height. Pls don't mention inches. Suppose heights are A,B,C,D then give answer as A0B0C0D.
The answer is 70072074080.
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1 solution
As average height is 74 inches, therefore sum of heights of four men is 296 inches. Next we construct equation for the four people. Let the heights of the people be a, b, c, d in increasing order. then a+2=b b+2=c c+6=d Now equating all the heights in terms of d, we get c=d-6 b+2=d-6; b=d-8 a+2=d-8; a=d-10 a+b+c+d=296; (d-10)+(d-8)+(d-6)+d=296 Thus we get d=80, c=74, b=72, a=70. 70,72,74,80.