Question

The sum of two numbers is 52. If one number is
7/6
times the second number, then find the largest

Answer 1

Answer:

28

Step-by-step explanation:

Given:

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

Let $x$ = first number

$\implies \dfrac76x = \textsf{second number}$

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

$\implies \dfrac76x+x=52$

$\implies \dfrac76x+\dfrac66x=52$

$\implies \dfrac{13}{6}x=52$

$\implies13x=52 \cdot 6$

$\implies13x=312$

$\implies x=\dfrac{312}{13}$

$\implies x=24$

Therefore, the largest number is:

$\implies \dfrac76\cdot 24 =\dfrac{168}{6}=28$