Question

If x ,y,zarethreeintegerssuchthat x +y =8,y +z =13and z +x =17,thenthevalueof x 2 /yz is:

A 7/5 Correct Answer Incorrect Answer
B 18/11 Correct Answer Incorrect Answer
C 1 Correct Answer Incorrect Answer

Solution

x + y = 8 ----(1) y + z = 13 ----(2) z + x = 17 ----(3) Eq (1) + (2) + (3), 2(x + y + z) = 8 + 13 + 17 x + y + z = 38/2 = 19 ----(4) From eq (3) and (4), x + 13 = 19 x = 6 From eq(3), z + x = 17 z + 6 = 17 z = 11 From eq(2), y + z = 13 y + 11 = 13 y = 2 x2 yz = 62 / 2×11 =36 / 22=18/11

Practice Next
×
×