Find the fraction which becomes 1/2 when the denominator is increased by 4 and is equal to 1/8 when the numerator is diminished by 5.

Let numerator be x and denominator be y. Given, fraction becomes when the denominator is increased by 4. ⇒ 2x = y + 4 ⇒ 2x - y = 4 .......(i) Given, fraction becomes when the numerator is diminished by 5 ⇒ 8(x - 5) = y ......(ii) Substituting value of y from eq. (ii) in (i) we get, ⇒ 2x - [8(x - 5)] = 4 ⇒ 2x - 8x + 40 = 4 ⇒ -6x = 4 - 40 ⇒ 6x = 36 ⇒ x = 6. Substituting value of x in (ii) we get, ⇒ 8(6 - 5) = y ⇒ y = 8(1) = 8. Original fraction = Hence, fraction = .

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In a two digit number the sum of the digits is 7. If the number with the order of the digits reversed is 28 greater than twice the unit's digits of the original number, find the number.

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A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. Find the number.

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Mathematics

Find the fraction which becomes 1/2 when the denominator is increased by 4 and is equal to 1/8 when the numerator is diminished by 5.

Linear Equations

Related Questions

In a two digit number the sum of the digits is 7. If the number with the order of the digits reversed is 28 greater than twice the unit's digits of the original number, find the number.

A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. Find the number.