Question

the difference between two positive numbers is 160 and the ratio between them is 5:3 find the product of both numbers​

Answer 1

Question :

the difference between two positive numbers is 160 and the ratio between them is 5:3 find the product of both numbers .

Answer :

$\sf\pink{given}$

• Ratio of two numbers is 5:3

• Difference of the two numbers is 160

$\sf\pink{to\:find}$

• Product of the two numbers = ?

Explanation :

• let the numbers be 5x and 3x

Therefore , by the given condition

$\red{\longrightarrow\bf{ 5x - 3x = 160}}$

$\red{\longrightarrow\bf{ 2x = 160}}$

$\red{\longrightarrow\bf{ x = \dfrac{160}{2}}}$

$\red{\longrightarrow\bf{ x = 80 }}$

• Therefore one number = 5x

$\purple{\longrightarrow\bf{ 5\times 80 }}$

$\purple{\longrightarrow\bf{ 400} }$

• Therefore other number = 3x

$\green{\longrightarrow\bf{ 3\times 80} }$

$\green{\longrightarrow\bf{ 240} }$

• Therefore their product = 400 × 240

$\blue{\longrightarrow\bf{96000}}$