Math, asked by cristellemaypoyod, 5 months ago

Miguel is twice as old as his son Mark.Five years from now,the sum of their ages will be 55.What is Miguel present age?​

Answers

Answered by Anonymous
2

its \: simple \\ age \: of \: miguel = x \: yrs \\ age \: of \: mark = y \: yrs  \\  \\ from \: question \\ x = 2y \\ x - 2y \:= i) \\ 5 \: yrs \: from \: now \\( x + 5 )+( y + 5) = 55 \\ x + y + 10 = 55 \\ x + y = 55 - 10 \\ x +  y = 45 \: =ii) \\  \\ from \: eq \: i) \\ x = 0 + 2y \: =iii) \\ put \: in \: eq \:ii) \\ x + y = 45 \\ 0 + 2y + y = 45 \\ 3y = 45 \\ y =  \frac{45}{3}  \\ y = 13 \\put \: y = 13 \: in \: eq \: iii) \\ x = 0 + 2y \\ x = 0 + 2(13) \\ x = 26 \\  \\ x = 26 \\ y = 13 \\  \\ verification \: from \: eq \: i) \\  \\ x = 2y \\ 26 = 2(13) \\  26 = 26 \\  \\  \\ miguel = 26 \: yrs \\ mark = 13 \: yrs

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