Question

The sum of two numbers is 52. If one number is

7/6
times the second number, then find the largest

Answer 1

28

Explanation:

Given:

• sum of two numbers = 52
• one number is 7/6 times the second number

Let
`x` = first number

`\implies \frac76x = \textsf{second number}`

Therefore, as the sum of the two numbers is 52:

`\implies \frac76x+x=52`

`\implies \frac76x+\frac66x=52`

`\implies (13)/(6)x=52`

`\implies13x=52 \cdot 6`

`\implies13x=312`

`\implies x=(312)/(13)`

`\implies x=24`

Therefore, the largest number is:

`\implies \frac76\cdot 24 =(168)/(6)=28`