Question

Two numbers are in the ratio 6:7. is there sum of 91, find the numbers.​

Answer 1

Answer:

Let the number be x, so that

According to the question,

6x + 7x = 91

or, 13x = 91

or, x = 91/13

or, x = 7

6x = 6(7) = 42

7x = 7(7) = 49

Answer 2

$\Large{\underline{\underline{\mathfrak{\red{\bf{Solution}}}}}}$

$\Large{\underline{\mathfrak{\orange{\bf{Given}}}}}$

• Two numbers are in the ratio 6:7
• sum of these two number 91

$\Large{\underline{\mathfrak{\orange{\bf{Find}}}}}$

• These two Number

$\Large{\underline{\underline{\mathfrak{\red{\bf{Explanation}}}}}}$

Let,

• First Number be = x
• Second Number be = y

Case(1).

(Two numbers are in the ratio 6:7)

➠ x : y = 6 : 7

➠ x/y = 6/7

➠ 7x - 6y = 0 ---------------(1)

Case(2).

(sum of these two number 91)

➠ x + y = 91 ------------(2)

Multiply by 6 in equ(2)

➠ 6x + 6y = 546 ---------(3)

Sum of eqation (1) & (3)

➠ 7x + 6x = 546

➠ 13x = 546

➠ x = 546/13

➠ x = 42

Keep Value of x in equ(1)

➠ 7 * 42 - 6y = 0

➠ 6y = 294

➠ y = 294/6

➠ y = 49

$\Large{\underline{\underline{\mathfrak{\red{\bf{Hence}}}}}}$

• First Number be (x) = 42
• Second Number be (y) = 49

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