Question

2/7 of a no. Is less than 1/ 2of another no. If the sum of two nos. Is 15, whst is their product?

Answer 1

Answer:  Product = {x : x ∈ P, where P is { 14, 26, 36, 44, 50, 54, 56 } }

explanation :

Let two numbers be x and y (assuming x and y are integers)

given that

2/7.x < 1/2.y

4x < 7y => x < 7/4 y  (1)

x + y =15   (2)

from 1 and 2

7/4 y + y > 15

y > 60/11  => y ≥ 6

Equation 1 and 2 get satisfied by all values of (x,y) such that

x≤9 ,  y ≥ 6

Hence solution of the given problem will be one of following pair of (x,y)

(9,6) , (8,7) , (7,8) , (6,9), (5,10), (4,11) , (3,12) , (2,13) , (1,14)

Therefore product can be 54, 56, 56, 54, 50, 44, 36, 26, 14