Home
Class 10
MATHS
If a+b=15, b + c =10, and a + c = 13, wh...

If `a+b=15, b + c =10`, and `a + c = 13`, which of the following is true ?

A

`a lt b lt c`

B

`b lt a lt c`

C

`c lt b lt a`

D

`a lt c lt b`

Text Solution

Verified by Experts

The correct Answer is:
C
You want to rank a, b, and c. Actually, because you're given three equations, you can solve for the three unknowns. Subtract the equation `b+c=10` from the equation `a+b=15`, and you get `a-c=5`. Now add that to the equation `a+c=13`, and you get `2a=18`, or a = 9. Now you can plug that value of a back into the appropriate equations to find that b = 6 and c = 4. So the correct ranking is `c lt b lt a`.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST 1

    KAPLAN|Exercise PRACTICE TEST|50 Videos

  • PRACTICE TEST 3

    KAPLAN|Exercise PRACTICE TEST|50 Videos

Similar Questions

Explore conceptually related problems

Which of the followintg is true if A+B+C = pi

If a, b, c in R, then which one of the following is true:

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c< 0 , then which of the following is true?

If B, C are square matrices of order n and if A = B + C , BC = CB , C^2=0 then which of the following is true for any positive integer N

3x+b =5x-7 3y + c= 5y-7 In the equation above, b and c are constants. If b is c minus 1/2 , which of the following is true?

If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real positive number ,abc =1 and A^(T) A = I then Which of the following is/are true

Suppose that acostheta = b and csintheta = d , for theta and some constants a, b, c, d. Then which of the following is true?

If a, b, c are positive real numbers such that a+b+c=2 then, which one of the following is true?

If a, b, c are positive real numbers such that a+b+c=p then, which of the following is true?

For all real number a, b and c such that a > b and c < 0. Which of the following inequalities must be true?

KAPLAN-PRACTICE TEST 2 -PRACTICE TEST
  1. A new computer can perform x calculations in y seconds and an older co...

    Text Solution

    |

  2. Which of the following could be the equation of the parabola in Figure...

    Text Solution

    |

  3. If a+b=15, b + c =10, and a + c = 13, which of the following is true ?

    Text Solution

    |

  4. (1)/(sin theta)+(1)/(cos theta)=

    Text Solution

    |

  5. Amanda goes to the toy store to buy 1 ball - either a football, basket...

    Text Solution

    |

  6. If point P(3, 2) is rotated 90 degree counterclockwise with respect to...

    Text Solution

    |

  7. If 0 lt x lt (pi)/(2) and tan x = (a)/(2), then cos x =

    Text Solution

    |

  8. For what value of x will f(x)=(1-2x)^(2) have the minimum value ?

    Text Solution

    |

  9. If a certain line intersects the origin and is perpendicular to the li...

    Text Solution

    |

  10. If the volume of a cube is equal to the volume of a sphere, what is th...

    Text Solution

    |

  11. If [x] represents the greatest integer less than or equal to x, what i...

    Text Solution

    |

  12. Which of the following lists all and only the vertical asympototes of ...

    Text Solution

    |

  13. If cos x sin x = 0.22, then (cos x - sin x)^(2)=

    Text Solution

    |

  14. If water is poured at a rate of 12 cubic meters per second into a half...

    Text Solution

    |

  15. A circle centered at (3, 2) with radius 5 intersects the x - axis at w...

    Text Solution

    |

  16. If 0 le x le pi, where is (tan x)/(sin x) defined ?

    Text Solution

    |

  17. A rectangular box with an open top is constructed from cardboard to ha...

    Text Solution

    |

  18. ((n+2)!-(n+1)!)/(n!)=

    Text Solution

    |

  19. Bob wishes to borrow some money. He needs to defer to the following fo...

    Text Solution

    |

  20. A particle is moving along the line 5y=-6x+30 at a rate of 2 units per...

    Text Solution

    |