Question

Michael is twice as old as Ann. If 14 is added to Ann’s age and 22 is subtracted from Michael’s age, their ages will be equal. What are their present ages?

Answer 1

Answer: Michael is 72 while Ann is 36.

Step-by-step explanation: Let X represent Michael's age and Y represent Ann's. From the first sentence,

Y=2X. (eqn 1)

14+X=Y-22 (eqn 2)

X-Y=-22-14

X-Y=-36; But Y=2X.

Therefore, X-2X=-36; -X=-36; X=36. Hence, Y=2*36; Y=72.