Question

Anita’s mother is 5 times older than Anita and Anita is twice as old as his sister Rita. In two years

time, the sum of their ages will be 58. How old is Anita now?

Answer 1

• Anita is 8.

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Let Anita be x now.

Her mother is 5 times older and in two years time she will be 5x + 2.

Rita is half the age of Anita and in two years time she will be (x/2) + 2.

The sum of ages after two years will be 58:

• 5x + 2 + x + 2 + (x/2) + 2 = 58
• 6x + x/2 = 52
• 13x/2 = 52
• x = 52*2/13
• x = 8

Anita is 8 years old.