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HELP ME! NEW AND WILL MARK BRAINLIEST!!!
Sara has a son and a daughter – Billy and Jane. Billy is five times as old as Jane. Their mother is now three times as old as Billy, and in 2 years she will be eight times as old as Jane. Find the present age of the mother.

Respuesta :

bhuvna789456

The present age of the mother is 30 years.

Step-by-step explanation:

Step 1 :

At present,

  • Age of Jane = x
  • Age of Billy = 5x
  • Age of mother = 3(5x) = 15x

Step 3 :

After 2 years,

  • Age of Jane = x+2
  • Age of mother = 8 times as Jane = 8(x+2)

Step 3 :

Age of mother at present + 2 years = Age of mother after 2 years

⇒ 15x + 2 = 8(x+2)

⇒ 15x + 2 = 8x + 16

⇒ 7x = 14

⇒ x = 2

Step 4 :

Substitute x=2,

Age of mother at present = 15x = 30 years.

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