Question

If the ratio of two numbers is 7:10 and their differnce is 105 .THE numbers are

Answer 1

=» 7x +10x = 105

=»17x= 105

=» x = 105/17

=6. 10647059

please mark this brainliest.

Answer 2

Answer:

• The numbers are 245 and 350.

Step-by-step explanation:

Given :-

• The ratio of two numbers is 7 : 10. The difference between the numbers is 105.

To Find :-

• What are the numbers.

Solution :-

➊ To find the numbers, firstly let us consider the numbers be 7x and 10x.

Given :

• Difference between numbers = 105.
• Numbers = 7x and 10x.

According to the question,

↦ 10x - 7x = 105

↦ 3x = 105

↦ x = 105/3

➦ x = 35

➋ Now, let us find out the numbers by putting the value of x in assumed numbers.

➲ First number = 7x = 7 × 35 = 245.

➲ Second number = 10x = 10 × 35 = 350.

∴ Hence, the numbers are 245 and 350.

❖ Verification ❖

↦ 10x - 7x = 105

Putting x = 35 we get,

↦ 10(35) - 7(35) = 105

↦ 10 × 35 - 7 × 35 = 105

↦ 350 - 245 = 105

↦ 105 = 105

➦ LHS = RHS

∴ Hence, Verified ✔