Question

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age in terms of m?

Answer 1

Answer:

5m-50

Step-by-step explanation:

Let Diego current age be x,

Given that Diego’s current age is five times Martina’s age ten years ago

Martina current age = m years

10 years ago Martina's age = m-10

Hence we have

x = 5(m-10) = 5m-50

So we find that Diego's current age can be expressed in terms of m as

Deigo's current age= 5m-50

Verify:

Deigo current age = 5m-50

Hence Martina age 10 years ago = 5m-50 divided by 5 = m-10

Martina current age = m-10+10 = m

Verified.

Answer 2

The current age of Diego in terms of m is expressed as:  $5m - 50$

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given condition, we can take Diego's current age represented by a symbol.

• Let current age of Diego be: D years
• It is given that the current age of Martina = m years
• Martina's age 10 years ago = m - 10 years

Then, converting the statement "Diego’s current age is five times Martina’s age ten years ago." in mathematical terms,

Diego's current age = 5 times (Martina's age 10 years ago)

$D = 5 \times (m - 10)\\\\or\\\\D = 5m - 50$

( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Therefore, The current age of Diego in terms of m is expressed as:  $5m - 50$

Learn more about forming equations here:

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