Question

the ratio of two numbers is 11:13 and their difference is 70 find those number​

Answer 1

the numbers are

$11 \times 70 = 770 \\ 13 \times 70 = 910$

Answer 2

Given

• The ratio of two numbers is 11:13.
• Their difference is 70.

To Find

• Find those numbers.

Solution

⇨Let the numbers be 11x and 13x.

⇨Required Equation will be as follows:

$⇨ \sf{11x - 13x = 70}$

$⇨ \sf{ - 2x = 70}$

$⇨ \sf{ x = - \frac{70}{2} }$

$⇨ \sf{ x = - 35}$

Final Answer

Now let us place the values.

• 11x = 11 × (-35) = -385
• 13x = 13 × (-35) = -455

So, the two numbers are -385 and -455.

Verification

$⇨ \sf{11x - 13x = 70}$

$⇨ \sf{ - 385 + 455 = 70}$

$⇨ \sf{ 70= 70}$

Hence, Verified ✓