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Maths Puzzle
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers
Read Solution (Total 2)
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- 15,6,4.
If nos are x,y,z, then
2*(x+y+z) = 10+19+21 =50
x+y+z=25.
then nos are (25-10), (25-19), (25-21) or 15,6,4. - 12 years agoHelpfull: Yes(0) No(1)
- Let the numbers be x, y and z. Then,
x+ y = 10 ...(i) y + z = 19 ...(ii) x + z = 21 …(iii)
Adding (i),(ii)and(iii),we get: 2 (x + y + z ) = 50 or (x + y + z) = 25.
Thus, x= (25 - 19) = 6; y = (25 - 21) = 4; z = (25 - 10) = 15.
Hence, the required numbers are 6, 4 and 15. - 10 years agoHelpfull: Yes(0) No(0)
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