SOLUTION: the sum of ages of leo and mandy is 92. the sum of ages of mandy and nancy is 57. the sum of ages of leo and nancy is 73. find the age of leo.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: the sum of ages of leo and mandy is 92. the sum of ages of mandy and nancy is 57. the sum of ages of leo and nancy is 73. find the age of leo.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1146071: the sum of ages of leo and mandy is 92. the sum of ages of mandy and nancy is 57. the sum of ages of leo and nancy is 73. find the age of leo.
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28L%2Bm=92%2Cm%2Bn=57%2CL%2Bn=73%29

If add all corresponding members, 2L%2B2m%2B2n=222
L%2Bm%2Bn=111
If subtract second equation of system from this equation,
L=111-57
highlight%28L=54%29--------question asked only for Leo's age.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Leo  + Mandy  = 92     (1)

Leo  + Nancy  = 73     (2)

Mandy + Mancy = 57     (3)



Add equations (1), (2) and (3).  You will get


2*(Leo + Mandy + Nancy) = 92 + 73 + 57 = 222.


Hence,  


    Leo + Mandy + Nancy = 111     (4).


Now subtract equation (3) from equation (4).  You will get


    Leo = 111 - 57 = 54.


ANSWER.  Leo is 54 years old.

Solved.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

the sum of ages of leo and mandy is 92. the sum of ages of mandy and nancy is 57. the sum of ages of leo and nancy is 73. find the age of leo.
L + M     = 92 ----- eq (i)		

    M + N = 57 ----- eq (ii)		

L     + N = 73 ----- eq (iii)		

L     - N = 35 ----- Subtracting eq (ii) from eq (i) ------ eq (iv)		

2L = 108 ----- Adding eqs (iv) and (iii)		

L, or Leo's age is: highlight_green%28matrix%281%2C4%2C+108%2F2%2C+%22=%22%2C+54%2C+years-old%29%29