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.

The present age of the mother is 30 years

Step-by-step explanation:

Let

x ---> Sara's age (the mother)

y ---> Billy's age (the son)

z ---> Jane's age (the daughter)

we know that

Billy is five times as old as Jane

so

----> equation A

Their mother is now three times as old as Billy

----> equation B

Their mother in 2 years she will be eight times as old as Jane

so

---> equation C

substitute equation A in equation B

----> equation D

substitute equation D in equation C

solve for z

Find the value of x

therefore

The present age of the mother is 30 years

step-by-step explanation:

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step-by-step explanation: