Respuesta :

Question:

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Given:

  • product of their ages=154
  • Brad is 3 years older than Francis

Let:

  • Age of Francis be x
  • Age of Bard be x+3

Answer:

A/Q:

Age of Bard× Age of Francis=154

  • x×(x+3)=154

  • x²+3x=154

Let's split 3x into +14x and -11x

  • x²+3x-154=0

  • x²+14x-11x-154=0

  • x(x+14)-11(x+14)=0

  • (x-11)(x+14)=0

  • x=11

  • x=-14

So we aren't taking ages in negetive

  • .°.x=11

As we know in starting we have take x as Financis age

  • .°. Francis age=11✔

We know Brad is 3 years older than Francis

  • .°. Brad age=x+3

  • Brad age=14✔

_____________________

With regards!

✧Dull Star✧

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