Question
The difference between two numbers is 15. Taking the smaller number as x; find:
(i) the expression for the larger number.
(ii) the larger number, if the sum of these numbers is 71.
✓
Answer
Difference of two numbers = 15
Let smaller number = x
∴ Second number = x + 15
∴ Larger number = x + 15
If sum of two numbers = 71
Then x + x + 15 = 7
(i) 2x + 15 = 71
⇒ 2x = 71 - 15 = 56
$x=\frac{56}{2}=28$
(ii) Larger number = x + 15 = 28 + 15 = 43
Let smaller number = x
∴ Second number = x + 15
∴ Larger number = x + 15
If sum of two numbers = 71
Then x + x + 15 = 7
(i) 2x + 15 = 71
⇒ 2x = 71 - 15 = 56
$x=\frac{56}{2}=28$
(ii) Larger number = x + 15 = 28 + 15 = 43
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the value of $'x\ ’$ for the following figure:
→Solve: 3(2x + 1) -2(x - 5) -5(5 - 2x) = 16
In a club has 360 members, 40 play carrom, 96 play table tennis, 144 play badminton, and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play:
(i) carrom to the number of those who play badminton.
(ii) badminton to the number of those who play table-tennis.
(iii) table-tennis to the number of those who play volley-ball.
(iv) volleyball to the number of those who play other games.
(i) carrom to the number of those who play badminton.
(ii) badminton to the number of those who play table-tennis.
(iii) table-tennis to the number of those who play volley-ball.
(iv) volleyball to the number of those who play other games.
A man earns ₹ 25440 per month. He spends $\frac{1}{4}$ of it on house rent, $\frac{3}{8}$ on food and clothes, $\frac{1}{10}$ on insurance and $\frac{1}{5}$ on other items. The rest he saves. How much does he save each month?
→Find the smallest number which, on being decreased by 3, is completely divisible by 18, 36, 32 and 27.
How will Rs 31500 be shared between A, B, and C; if A gets the double of what B gets, and B gets the double of what C gets?
The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.
Each angle of a quadrilateral is x + 5°. Find:
(i) the value of x
(ii) each angle of the quadrilateral.
Give the special name of the quadrilateral taken.
(i) the value of x
(ii) each angle of the quadrilateral.
Give the special name of the quadrilateral taken.
In a school, $\frac{4}{5}$ of the students are boys, and the number of girls is $100.$ Find the number of boys.
→For an angle x°, find:
(i) the complementary angle
(ii) the supplementary angle
(iii) the value of x° if its supplementary angle is three times its complementary angle.
(i) the complementary angle
(ii) the supplementary angle
(iii) the value of x° if its supplementary angle is three times its complementary angle.