Question

the sum of two number is 87 if twice the smaller number is added to the larger number the result is 120 find the larger number​

Answer 1

Step-by-step explanation:

Let x be larger number and y be smaller number.

From the first condition,

x+y=87..... (1)

From the second condition,

2y+x=120

x+2y=120..... (2)

Subtracting equation (1) from (2) we get y=33

Put y=33 in equation (1)

x+y=87

x+33=87

x=87-33

x=54

Therefore, the larger number is 54 and smaller number is 33.

Answer 2

The larger number is 54.

Given - Sum

Find - Larger number

Solution - Let one number be x. So, other number is (87 - x).

Now, forming equation as per second statement.

2x + 87 - x = 120

Solving this equation to find the value of x.

x = 120 - 87

Performing subtraction

x = 33

Other number = 87 - 33

Other number = 54

Hence, the larger number is 54.

#SPJ3