Cleo is 38 years old, which is twice as old as Clara will be in 7 years. Part A In how many years will Clara be as old as Cleo is now? A 12 years B 19 years C 26 years D 33 years Part B How old will Cleo be when Clara is as old as Cleo is now? A 57 years old B 64 years old C 71 years old D 78 years old

Part A : The answer is 26 years (C)

Part B : The answer is 64 years old (B)

Step-by-step explanation:

Part A:

If Clara now has x years old

Then her age after 7 years will be x + 7

∵ 38 = 2 (x + 7) ⇒ Cleo age now is twice Clara age after 7 years

∴ 38 = 2x + 14

∴ 2x = 38 - 14 = 24

∴ x = 24 : 2 = 12

∴ Clara age now is 12 years old

∴ Clara age will be equal Cleo age now after 38 - 12 = 26 years ⇒ (C)

Part B:

∵ Clara age will be as old as Cleo now after 26 years

∴ Cleo age will be = 38 + 26 = 64 years old ⇒ (B)