Question

.. Find two numbers in the ratio of 7:12, so that the greater
exceeds the less by 275.​

Answer 1

Answer:

Larger number: 660

Smaller number: 385

Step-by-step explanation:

Let x=the greater number

Let x-275=the smaller number

Therefore,

$\frac{7}{12} =\frac{x-275}{x}$

7x=12(x-275)

7x=12x-3300

7x-12x=(12x-3300)-12x

-5x=-3300

x=660

larger number: 660

smaller number: 660-275=385

Answer 2

Answer:

Larger number: 660

Smaller number: 385

Step-by-step explanation:

Let x=the greater number

Let x-275=the smaller number

Therefore,

\frac{7}{12} =\frac{x-275}{x}

12

7

=

x

x−275

7x=12(x-275)

7x=12x-3300

7x-12x=(12x-3300)-12x

-5x=-3300

x=660

larger number: 660

smaller number: 660-275=385