Question

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Answer 1

Answer:

LET THE NUMBERS BE x and y

$x + y = 135 \\x = 135 - y \\ \\ x - y = 17 \\135 - y - y = 17 \\ 135 - 2y = 17 \\ 2y = 118 \\ y = 59 \\ \\ x = 135 - y = 135 - 59 = 76$

therefore the greater number is 76.

Answer 2

• Question

Sum of two numbers is 135 and their difference is 17. Find the greater number.

• Given

• Sum of two numbers = 135
• Difference between two numbers = 17

• To find

• The greater number

• Solution

Let the no. be x and y.

According to the question,

⇒ x + y = 135 ---- (1)

⇒ x - y = 17 ------ (2)

⇒ Add 1 and 2.

x + y = 135

x - y = 17

___________

2x = 152

___________

⇒ 2x = 152

⇒ x = 152/2

⇒ x = 76 ------- (3)

The value of x = 76

Substitute (3) in (1)

⇒ x + y = 135

⇒ 76 + y = 135

⇒ y = 135 - 76

⇒ y = 59

The value of y = 59

Firstly, let's verify both of the numbers.

Put the value of x and y in any of the (1) or (2) equation.

Substituting in equation (1)

⇒ x + y = 135

⇒ 76 + 59 = 135

Hence, verified.

Substituting in equation (2)

⇒ x - y = 17

⇒ 76 - 59 = 17

Hence, verified.

• x = 76
• y = 59

The value of x is greater than y.

•°• The greater no. is x = 76