Question

Moses lived 24 years for every 35 years Abraham lived. Moses died at 120 years of age. How old was Abraham when he died? Write the correct proportion and solve

Answer 1

Abraham was 175 years old when Moses died.

Explanation:

A proportion is a mathematical equation stating that two ratios are equal.

Let A represent the age of Abraham (in years).

Let M represent the age of Moses (in years).

The given information states that Moses lived 24 years for every 35 years Abraham lived. Therefore, we can set up the proportion:

`(M)/(A) = (24)/(35)`

We also know that Moses died at 120 years of age, so M = 120.

Substitute this into the proportion:

`(120)/(A) = (24)/(35)`

To solve for A, we can cross-multiply:

`35 * 120 = 24 * A`

`4200 = 24A`

Now, divide both sides by 24 to find A:

`A = (4200)/(24) = 175`

So, Abraham was 175 years old when Moses died.