Question

Two number of are in the ratio 7:8 and their sum is 75 find the number

Answer 1

Answer:

Letthenumberbe8xand7x

Accordingtoquestion

8x+7x=60

15x=60

x=

15

60

x=4

Thenumberare:

7x=4×7=28

8x=4×8=32

Answer 2

Solution :-

Given that:

• The 2 numbers are in the ratio 7:8
• Sum of these 2 numbers = 75

To find:

2 numbers = ?

Solution:

Let the 2 numbers be 7x and 8x where x is the common multiple.

Since the sum is 75,

7x + 8x = 75

⇒ 15x = 75

⇒ x = 75 ÷ 15

⇒ x = 5

★ Now, let's find out the 2 numbers:

• 7x = 7(5) = 35
• 8x = 8(5) = 40

∴ The 2 numbers are 35 and 40

VERIFICATION:

Take the ratio of the 2 numbers.

35/40 = 7/8

Also, their sum = 35 + 40 = 75

Hence verified