Question

The ratio of two number is 7:4 and their difference is 15.find the two numbers?​

Answer 1

Given :

• The ratio of two numbers is 7:4.
• Their difference is 15.

To find :

• The two numbers.

Solution :

Consider,

• 1st number = 7x
• 2nd number = 4x

${\underline{\sf{According\: to\:the\: question:-}}}$

• Their difference is 15.

$\mapsto\sf{1st\: number-2nd\: number=15}$

$\mapsto\sf{7x-4x=15}$

$\mapsto\sf{3x=15}$

$\mapsto\sf{x=\dfrac{15}{3}}$

$\mapsto\sf{x=5}$

• 1st number = 7×5 = 35
• 2nd number = 4×5 = 20

___________________

Verification :-

• 1st number = 35
• 2nd number = 20

Ratio of two numbers = 7:4

→ 35 :20 = 7:4

→ 7:4 = 7:4

Difference between two numbers = 15

→ (35-20) = 15

→ 15 = 15

Hence Verified !

Answer 2

Answer:

35 & 20

Step-by-step explanation:

Let the ratio be 7x : 4x

Difference = 15

A/q

→ 7x - 4x = 15

→ 3x = 15

→ x = 15/3

= 5

Hence,

1st no. = 7x = 7 × 5

= 35

2nd no. = 4x = 4 × 5

= 20

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