Sum of three nos is 98. The ratio between 1 and 2 is 2:3. The ratio between 2 and 3 is 5:8 .
Find the second no?
Answer is simple:
Let x,y,z be numbers.
x/y=2/3 , So, 3x=2y. And y/z=5/8 , So 8y=5z
Sum is 98, So 2y/3+y+8y/5=98. Therefore y=30
Numbers are 20,30,48
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Tuesday, January 17, 2012
Simple maths puzzzle
If The product of two positive numbers is p. If each of the numbers is increased by 2, the new
product is how much greater than twice the sum of the two original numbers?
(A) p-2
(B) p
(C) p+2
(D) p+4
(E) 2p+4
Answer: (before looking solution, try solving it)
Let numbers be x,y. So xy=p
(x+2)(y+2)-2(x+y)=xy+4
So p+4 is answer
product is how much greater than twice the sum of the two original numbers?
(A) p-2
(B) p
(C) p+2
(D) p+4
(E) 2p+4
Answer: (before looking solution, try solving it)
Let numbers be x,y. So xy=p
(x+2)(y+2)-2(x+y)=xy+4
So p+4 is answer
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